{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# TTUR example code\n",
    "\n",
    "* The objective ( obj ) is $f(x,y) = (1+x^2) \\cdot (100-y^2)$ where the derivative with respect to x is $ f_x = 2x\\cdot(100-y^2)$ and with respect to y is $ f_y = -2y\\cdot(1+x^2)$.\n",
    "\n",
    "* The objective fulfills assumption A4 from the TTUR-paper. \n",
    "\n",
    "* It has a sattle point at $(x,y)^T = (0,0)^T$. The gradient at the sattle point is the zero vector, the function value at the sattle point is $f(0,0) = 100$.\n",
    "\n",
    "* The norm $(x^2 + y^2)^{\\frac{1}{2}}$ measures the distance of the parameter vector to the sattle point. We set a base learning rate (base_lr) and obtain the x-learning rate ( lr_x ) and the y-learning rate ( lr_y ) by scaling the base learning rate.\n",
    "\n",
    "* On top of the gradient we add Gaussian noise with standard deviation sigma in order to simulate a stochastic gradient.\n",
    "\n",
    "* We plot the objective (should converge to 100), the norm over time (should converge to 0) and the x-y phase diagram (should converge to (0,0)).     \n",
    "    * The first line shows one-time scale learning, which usually diverges and has large fluctuations. \n",
    "    * The second line shows one-time scale with smaller learning rate, which usually converges, but slower than the TTUR in the next line (see norm). A small learning rate leads to convergence in this simple example but doesn't guarantee convergence in the general case. \n",
    "    * The third line shows TTUR with the x-update slowed down, which usually converges fast. \n",
    "    * The fourth line shows TTUR with the y-update slowed down, which is still more stable than the one-time scale update.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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YLUJGouUuDCWVSlmGZhg5duwYHnnkEdx///145JFH8LGPfUz7+Te/+U0cP34c\np0+fxvDwMKanp3HnnXfiS1/6EtLpNADg5MmT+NrXvtb0drcDJFrElqeRqlUul9PkSlVVjI+PY8eO\nHbjmmmtqbh8MBiGKYlueS6PoB1dGyQKAhFy9/27FywsRMhOvdgiWmVTVw6yC1Yx8MYwCNrYHeGO5\nWsDYMdvKilMnEw+3I06rD6whtL5Ctra2hlQqpQ2A2XvZaqBbryE0E7qWIQiVGPYf/AD+//Jf4Esm\noQaDkD/4QYh/9meQPvxhqNFo6x7fhF6uzjpdo+W0sa4+dIYdk2YnDQBooTNWwR6tFrJeFy03xz0b\nJ5n9TT71qU/h6aefRjKZxNzcHL7yla/g/vvvxyc/+Uk8/PDDuOKKK/Dd734XAPDhD38YTzzxBObn\n59Hf349/+Id/AACMjY3hz//8z3HkyBEAwJe//GUtGOPee+/FZz/7Wdx0002ut7sd4Fx+QPXupxnR\nNbAPDH1CIIMNMKyqViyam1WtotFo3bK7JEk4e/Ys3vve93r/ZDzg9OnTuOmmm8DzvKlkOcVMvlol\nQlbyE+a8WVtSsJAI3sPxp5V4ldT6z6GgOh8c5JUQjow/7/j2TlhaWoIkSVWLj7crqVQKmUymZo1W\nN2NsCG2cumhsCK0f4LKWFPv37/euv9PaGvynTm3GsOfzUCMRSEePQjp2DNLRo0Ak0vzjNIgsy3jx\nxRdx4403dmwfOsVzzz2Hm266qe0zLsxSQI0984xCZiVljVZx3377bQwNDSHaZrHvFiRJwksvveSo\n31SxWMSxY8e2TWR6l+DoTUcVLWJLYFW1spoOaFa1ikaj2LlzJ4aHh139U+J53rNGt62ARbyvrDY3\nkDRWvQZasKC+XnXJ+Hs34mUlV3pkEzlqVL7Kau0dZWefuxjgzJMizQQs4hPwRvramp/nleoF0Cl5\nEL858bSjx6c1Wt2N04bQsizXBHrkcjkUCgW8/PLLjtLrrNbmcKkU+B/+EIHvfx/8T38KThCgRKMo\n//ZvV2LYb7sN6IJAIKAipt0yna0TdGJau5sUUNZigR2nrC0D+xkTMjZ91ir23ihkvV7RcrM+a7tE\npW9FSLSIrqRe1cpMrkRR1Ppa5XI57UzXDTfc0FQEbLevzfL7/Ujnr/Zse8KGQAgmVjLWoJU0Mn3P\n7H5m4uVEsOwwPk2rp1hU6j933qTo71S+AHMBM8pXeaNiFjbcdtafxsur11Xuo1gPgG+OnqE1WtsE\nnudrGkKP4kg2AAAgAElEQVRns1nE43FcpQueME4FEwQBuVyuJixhMJ3G5C9+gfFnnsHA2bPgFAXS\n7CzW774bysc+BvXWW4EuFBrqp9S9sGmwwWDQkZAZm0Lb9cnLZrMIBAIQRbFKynrlWBBF0XHi4OLi\nIolWhyDRIroGJlZMrpxWrRKJBFKplFa18qqhrNn+dYt0lUolrZHu9I7f9my7gkmVBgAGT5bgX5Qh\nTvGQpnyQpnhIMR/Ggvb/0BoVrHrbK+n20+vzmUy8rF4Lt7iRr5JaO4jlUf0a8hx7Daw/vgd81r3N\nfpl8D8ADGATiScub4eboGetfbiF6rXJnFu9ut36MO3cOge9/vxLD/sILAABx716s/sEfYPW225Dd\nvRvCRv8x5ezZqoGzVaBHuz8nZVnuyYrWdjq29ceVHXohy+fzCAQCWFtbq5q6aNa43Fgp2w5C5iba\n3U3iIOEtJFpEx2BVK0mSsL6+XvUBa1e1YtMB9VWrnTt3trRxIetX1alpCqqqIpPJaFLp9/sRjUbb\nIlkAMPTdIiInqwfvqg+QYhvSxeRrkkdohkdpioM8xYOb8kEd9O6fWclkH8sGaQk0sZTUK7mqBw8V\nIgzTYBys7dIT5szXz9kJGFArYbLucYvq5nvo2WT9NYlWlbOjEz+ve9920i0nSNpB3RNCqgrfiy9W\nwix+8APwv/41AEA+fBjCgw+i/NGPQt27F0EAUxtfxu0b1+PkcjntOmsI7fP5bKcrerZ+DN3TO6zd\n9KJg6oWM4zjMzc2ZHkfG4BlBEKqCZ/RCpj9xYBY8063HFqvkOWFpaYlEq0OQaBFtxaxqVSwW8eab\nb+KGG26wrVolk0lwHIfx8fGWVa2sCAaDbZ8PzqQykUggn89jZGQEsVgMu3fvht/vbyr4Qo8TuVj8\nT6PgUwr8cQX+uFz5WlYQ2LgcvCCj/xci+FxFcvR96uVBDsqUD/IUD9n4fXLj+4TPdrGUmWBZYRQv\nwF6+2iVXRrEyEuBqq39u5QuoFrCyrkImmlTLjPRz1umaegljWFXOjJJmN5XRDHb735o65ep+vczf\nXvokQr6N6aR9wM8XNn+3Xg5g7oVVXPWjZez78TIiSyUoPId3bxzFm186gDd/YwL5qT4Apytfl4AA\n52JdahBY48OAdQI+UN74WjP/9THxfzcVMyeJer0oHIDzxMHtit1JBb1ARWyCWtiJA/20WiZk7OSB\nPgnU6uRBJ4RMEATb56YnHo9riYBEe+nddyjRFpystQqHwxBFUfvANKtaxWKxllet7GDzwO166TSL\nPsAjkUiA4zhEo1FceeWViEQi2uvzyyUWjBDBFf58U4/pWDJ8HOQYDznGQ7jWWjbLRSCwIWBMwtjl\nwLKMwLNl9K+UYCzGqD5AjhkkbNqH0iQPaYpHYKNq1mh1zEy+lDbMuqknV/VwI1/lOiIVtBg4OxEw\nwL2E6bGbyqiHCRa7/amV9zu6HwDwnFq1jeodAF5ddrwpAEBRsX9OrkTEBuP+Bi0qlfUYM/w394kK\nZp/NYNepFHb+ZBV9q2VIQR8u/XejeO5/3oWLt0VRGt18L0dQcv2YJd36wUHe/f2L8uZzfzz4YOWC\nsPFl4AOp/8V0qmIoFIIkSSRaPYZX0yY5jtOOJztp0SeB6huXWwmZXey9VyeI3YRhLC4uYmZmxpPH\nJdzRm+9QoqW4XWvF8zzK5TLOnz+vVa1audaqEQKBAMpl86S4ZpAkSRMrfbPkw4cPO/oAfUeq/cfg\nVL68rORoQtEPiFf6IF5p89GiqPAnlU0JW5YR2KiU9S9LCFyQEfqlCD5rsrZpkIPMpilO8ZAmdZc3\nfi7HrKtjdtHrQTS/nsxsjZURH9fcACHAKXWnB7rBqYApNtJoNY2R4XR/a6Y1mjxm2eXUSCcw2dGv\nh4v43IuDGXoZ8ZkcYxHfuiePI6gBBNfK2PHzDK44lcLcz9IIFmSIAzwu3zaKi0fHcfn9o5AG+I19\nUdGP+v0B7YTTGMhiRcminUE/b/230ksYAPxs/P/cvKIAWN/4AnDz4he0WHurdTndPg2sEXpZtNw0\n6vUCp0mgxtYMLAnUOLWWCZ6VlDkRMjdhGPF4HHNzc46fL+EdvfkOJTylXtXK7B+bcVqcKIoYGBjo\naNXKDq+aFquqikKhoAVZyLKM8fFxzM3NmTZLNrJZzbLGTL6AagFriWQ5xcdBmuAhTfAoHar9NavY\n+IoKAssyhlfEypTFpY0pi3EF/LKMvmcF+FeU2uoYX1k7JuvkqzTpR3mKBz/Fo7zxM2Wger/NnocT\n+XIiV3oUk9feiXzVkxWrbZg9Xj3MqlxMEuyEy4p6IlaoUxHTE3BY8aknZHrcyllJsa7q+gxVyH7O\nvfjZPQZv+DuHVsuY/XEGO06lMfVvWfCiitKYH+9+ZAyXjo5i+eYhKKHK38wPBf6Nv6Pdc6jaf19z\nMgbYC1k9CTOr1Bol7Jnpv625zWcG/y/baWBmIsau2zWE7iZ6WbS6NdrdjZAZpyzWW+to/C6KoqMT\nB6qqYm1tDcPDw149TcIFvfkOJZqmkYTAbDarhTmwqtWuXbswNDSE06dPY2JiomunfzRT0WJnWhOJ\nBNLpNPr7+xGLxXDo0CGEw2HH23EiWXYwATMm3s3yjU0/bHZanBHjlDil3wfhSh9WrjTrLbUx2JbV\n2rVjG5f5uAz/WzL6nhUxkjOpjkU4lCd5lDcqYuUpH8pTG9c3fi5Ga6tjQSiu5aoeZjIkwpvHMBMw\n/eM5nTqobc9GPutJmFXaYr3KiNVg3A4nQuZGxvSEfc4/C9y+vk4eo29RxOypDGZPZhB7bg2cAqzN\nBnHudydw6Y4xJA8PQq3TisHJc/BKxvQiZqxSWk3BtJM3YyXMKF4A8P+s/UnlAgcgDPzZ1f+k/Y4N\ncvXTwDKZjDbgZZ/1+kGzVf+xTgpZL4uWmyCIbsTn8yEcDtcdA5gdq9lsVrt89uxZUyFbXFzUkgZZ\nJWsrnDzYjvTmO5Rwjb5hMBMshtOq1fDwsCZXxjNRrGKk7wfTTQSDQRQKBce3LxaL2nMXBAFjY2OY\nnJzE1Vdf3dDUlWYli2E20F2QzStgdgLWasmqR17Z+OjiAEQrX5FDmwNr4xRBrsjWjSnVa8eWK99D\n/yYhsCLDOOZTeaA8UamMlad4CBuVsdAkD3FDysqTPLgBb/6BeSVXdhhfa15XgZEbCN/Qo5cwo3S5\n6SdmxE7EZNWHcoOvWyuqY0aspmaaYSdlkfPrmD2ZxeypDMZeLgIAsnvDeP1zU1i4YwSZA33AxkDK\nD+vHdPNc3MqYYiXSFtuxC0mxkjczATObgmiUr7+6eFfNbf5s1z/V/EyPsSE06+3ELusbQttVyFp1\nArFX16YB3VvR8horIWNpzYcPHwZQLWSsOvbMM89geXkZy8vLuHz5srYkYWZmBtPT05iZmcHMzAyO\nHDmCa665xnIfnnzySdx3332QZRn33nsv7r///qrfC4KAu+66C2fPnsX4+Dgee+wx7Nq1CwDwta99\nDQ8//DB4nsdf//Vf48477/T2BdoCcC4XFG6fpg1EXeyqVvrv+tubVa1isVhVmIMZr7zyCubm5jAy\nMtK6J9QEmUwGCwsLOHjwoOnvFUVBOp1GIpHA6uoqgsEgYrEYYrFY0wEarZQst8zyeU8lq5FUPfvt\nVQ86+l1UHiBX1o4F4jL8y9Vrx/Ri5reojokbVTAmX+IUD1l3XTKpjgGtlysvXmMnAtbIlEJt+w6P\nzUZFsFERc/04Hq6dg6pi5OV1TJ/MYvpkFpG3KjKxen0/Lh8dwcIdI1i70nlF3Cn1noPsYiqq0EAl\nEnCfUllv6qJ2O5PKl5564mUGOwGplzGjnLETk/r1Y2YhCW5Pwl28eBF9fX2YnJx0vd9bnaWlJUiS\nhB07dnR6VzpCoVDAhQsXbAWJ8eqrr+Ib3/gGHn30UZRKJcTjcSwuLmJpaQmLi4vYv38/PvShD5ne\nV5Zl7Nu3D6dOncLc3ByOHDmCf/mXf8GBAwe02/zN3/wNXnrpJXz729/Go48+in/913/FY489htde\new2f+tSncObMGSwuLuJDH/oQ3nzzze10csDRhyFVtAiNRqpWgiBoCYGsahWLxUyrVnaw+cbditka\nrVKppFWtCoUCRkdHEYvFsHfvXs8+SLpJsgDr6leMd17tY3gpWVaJe0WTqU+W8sVzkCYr0wY3t1u7\nj76ColXCgrqqWCAuI7gsI/xvgm11TF8ZEzUp82sVMqW/+dfFa4HlTdIPZdXXlFxVbd+mqXOzVTYA\nCFhUeFgFxix0o6HHaXK6IiepGHu+gJmnspg6lUX/UhkKD6TeO4gLn45i6egwSlObx3TQpnIFNDZt\nsd5zCHDOpxSGbCqRdhLG1syJhtfKSqjMph+uybUSqj+Os1Lt7Ikvv/U/aZf/jz1/Z7l/ejiOs20I\nzWB9nYwx4vrrdql1+kAPdtKy3YEQ3US5XN7SUwebxU0QxtLSkpY4GA6HsWvXLq3iVI8zZ85gfn4e\nu3fvBgAcP34cJ06cqBKtEydO4MEHHwQAfOITn8AXvvAFqKqKEydO4Pjx4wiFQrjyyisxPz+PM2fO\n4JZbbnH+RLcBvfkOJTQaWWuVyWSQTCarqlbGCHK3eBU20SpYvDtrGpxMJsHzvCZWAwMDns9/7jbJ\nsiMhWw8wjBLW6ipWPczkC9gUsHr7pwz4IOz2QdhtM9jcqI4FNQmTwMdVBOMSgssy+s6XMfRv6/Dn\nawVDGuJQnqyIl17EmJiJk/5KdcxX/Xf1+nWtfUom0tnEeq2a7Vscp2aSZ7dP1vtj/T7gHYSetErG\nfIKC6H8tYPKpHCZ/nEcwLUMOcVh5XwRv/PEU4rcPoTza2L9qJ9MWG5GxelMK64mYAp/l2iy30wmt\n5MsYN28Ur2F/ddqjUbwakS479H2YBgcHLW9nTK3ThySw9WNsTY4oiigWi8jn86b9x7bzmhwWoNWr\nuIl2j8fjDUe7LywsVFUN5+bmcPr0acvb+P1+DA8PI5VKYWFhATfffHPVfRcWFtBrkGj1GM1UrRKJ\nhJZc00jVyo5QKORqDVS70K8zy2azuHTpkufPvZW0Q7LqoZcw/cB4vIEqmB63glWPvMmArV5aniW6\n6lj5Wuv99BUUBOMygstSpTq2IWLBuIxgXMLwuTICidrqmOKvVMfEDSETNDHzQ9RVyJS+5uSgmWqS\nEwlr9visJ2F2cuX6sTyUMX9eRuzpNUyezGHi6TX4CwrKgz6s3B7B8p1DSLx/APLA5nETgPVx2Ox0\nxVbIWNhXhmJx7NQLNrFKgLQSMKfy5Ua8Wi1ddjhNrZNlGa+++ipisRh8Pl/V+jFRFLVAD57n6wZ6\nbEWoouW8orW4uFhVgSLaC4lWD9BM1YpVbqLRKHbv3t1U1cqOYDCIdDrt+Xbdoqoq8vm8VrVSVVUL\n8FhbW8O113pTZaqHF9WsbpAshtmAPWVRBasnYF4Llt3rZBWp7kTAnOynMuBDaY8PpT321bFAclO+\ngsuVNWNM0PreLGP4mXX418yqYz5bERMn/SiPb1bHrAbtdtLkhlaulTKvuNkvK/ZSxAB7GQsmJcR+\nnMfkU3mMPVsEL6oQxnksHhtG/I4IUrcMQA26F9tWpisy6smY06mEQGNR74A7AXMiX3biZVftaqd0\n2cHzPFRVxejoqO2AW5KkmjVj+XxeuyzLlb8tWz9mFejRbf3HeiUMwwpBEGwro3ri8TiOHj3a0OPM\nzs7i0qVL2vXLly9jdnbW9DZzc3OQJAnZbBbj4+OO7tsLkGhtQ4xVq7feegs7duzQphI4qVqNjIxY\nJgS2gmAwCEForN9Ms0iShFQqhUQigUwmg8HBQcRiMVx//fVV/8A4jtPm0LeSXpAsO+wErJ2SZYeV\ngJmtNWoankNhIoTCBACTvmPazdYU9C2LGxUxqapSFlyW0P+miGBChrEIpAQAMeaHOOmHMOmHsCFj\nwhS7XPluVh1zImDtlis31BMxoDkZCy+UMXGyIlejzxfBKUBxLoBLnx7F8h0RZA73aQEpvo1HY3g1\nVRFofbpis1MJte0YJIy9BnZhF0GT55aXa9dfGd+beUNFS38spCXrAKNMeXPbf/TGH2EkUJGyTkiX\nk3h3tn7MLpRJVVVIklQV5lEsFpFOp7XriqJUTX80q5A5abLrFb0uWm7XaDUqOEeOHMG5c+dw4cIF\nzM7O4tFHH8V3vvOdqtscO3YMjzzyCG655RZ873vfw+233w6O43Ds2DH87u/+Lv7kT/4Ei4uLOHfu\nHN7znvc0tB9bGRKtbYKxYbC+apXL5WrK7IqiVCUEsqrVnj17MDg42Pa53e0Mw1BVFcViUWsaLEkS\nxsbGMDs7iwMHDlieueN5vuWLjx+++JsArD8QD4bqz2/eypJlhQIOCdn67N2Ib93yd2Z4/RqxAarV\ncLNenygr3EzZkgd9WBsMA3tqf6dNsZNUBJMyfEtAcFlCKC4htCwhuPF94E0Bo88U4C/UCkh5yAdx\nSi9jfggbVTFh4+flcR5yG898G6cOenW86XElY6qKgfMiJk/mMfFUHsOvVKom+X0hvP35KJbvjCC/\nP6TFsNvhZKoi0H4ha0TG6olYvZRBuz5dZhIW4Ws/D4zyFTFUtPTiNeovVv1OL15MrICKdDHx+qM3\n/ggA8NdX/7XlvnqNoiieVJo4jkMgEEAgELCtkqiqWtNkN5/PI5lM1m2yq//yYv2YLMtbdtqjFwiC\n4Fi0lpeXG16j5ff78c1vfhN33nknZFnGZz7zGRw8eBBf/vKXcdNNN+HYsWO455578OlPfxrz8/MY\nGxvDo48+CgA4ePAgPvnJT+LAgQPw+/341re+1ZN/M4p336LUW2ul/xB7/fXXMTk5iYGBAW1KnL5q\nNT4+3vEzQ6qq4he/+AVuvfXWlmyfNQ1OJpNYXV1FX1+fFr/utGnwr371K1x11VVNx7VbUZGs5ghy\nEnYHVzzYm+bxUrIaxShgrRKsRjETsEYb3NbDTTgFn5cR2qiMhTaEjF1mghZMWlfHBJ2Q1Xyf8kMJ\nd2YaUitEDKqKoZdKmHgqj4mn1jBwoSIFmRvCWLkjgsQdERSvDHo+TbERvJSyengZde827h1wFvlu\nVvna/J35/wWzape+yqWn1dL13HPP4ciRIy19jEYw9nQyTl3Urx+zmqrIhMyKM2fO9GR1hHHmzBkc\nOXKkrrCqqor3ve99ePHFF7d1OEqHoHj37YZd1cpsrRWrWrE1R+FwuKNVKztasS/r6+ta1apUKmFs\nbAyxWAxXXXVVQ2cBA4GA9g+iG2FTaN4WJxzdvlVC1g2Cxcgo1gOpiK9k+bt6eDWI1K9J0UugVRx5\nIzQSwS5HeBQjPIrz1oNVRQKCiQ3pWtmsjrHvA78WMPZzi+rYsM9exib9KI/xNcmK3QInqRg5U8TE\nyTwmTq4hHJeg+IH0e/vx7u+NInF0EMJU9ckrJ5UxwPt1Y3p4KI73o9kpn15OVzRbn6Xv52UmYmbR\n8lm5WpKM+6j/vVW1VF/tYtJlrHIxOlHl6gasmuwa0fcfYzLG1o+JoljTEFofcS/LMtbX1xEMBnuy\nSgI4GzfJsgyfz9dV471eg0Sry2FipQ+xAKwTAllvJ33VKhKJYGxsDPPz8+3cdddwHNfUVAhFUbT4\n9VQqhUAggFgshquvvtqTGFgW8d4Kmq1mma1TqIdRyMwGYLuCCVfb7CbJqkdesR4EWEmYpw1pNzCr\nstkNcp1ImFf9rYxU7asfEKYDEKbtq+GV6phBxNjlZQmDbwiW1TFhwg9hKoCSbv0Y60PGhMyuOuZl\nBctXUjD+XwuIPbWG2I/zCGYUyGEOqfcP4PyfRpC4fRDSSPMDPqcixKj3XnG7PYYb2W9GysyEzDht\nsl5Fyyoow3jfYb5oehsmWGa/Z7/Ti1daGtj42eZrmxL7MRJYN5UuJlyAd9LlcjZSV8LzPPr7+x2t\nH9NXxQqFAhRFwfnz56saQhvXj+mrZI00hO5WJElyLJeJRAKxWKzFe0TYQaLV5ZTLZW0RqlXVSt/X\nivV20letWNBDt8N6aTmdygfUhniwpsF79uzxfC1VMBhsSUWrE5JlxGowdlGs/wHNZGwrSVY9jBKm\nn3I1wHkj241OY7Qa1AYgt0Swmp1uuVkdqx4s648XTlIr1bFlCeG4hNByWZOx8LKEyOsCok+vwV+s\nPU7FER+EyYAmXqXJipwJk5vXG62O+XMyoj9dw8TJNYz/rPL45YgPid8YROKOCJLvH/CkwXQzGN+7\nXvUdc4PbCiw7hp2uQ7MTKT1mQuZEwuwEy/i7rNyPUX91MmpaGsB4cPN2KdFaHLyqcvXKGiX9+jF2\nwrRQKKBUKuHgwYPa7VhDaH2FbG1tDalUSrtubAhtNl1R3xC6W2m0WTHRGUi0uhyzD1JWtUokEigW\ni1pfq927d5vKRSgUQqnU+DSpduFEtFRVRS6Xw8rKitYw2SiWraIVUwe9WJfVLI2e8WZcFGOOpglN\n+bO2v+8GwTLDuK6loFpPp6snYa0IKmGDZ7v1N056JdVst4X7akT1c1p1LGd1Z1WFP6/oqmNlhHWV\nsnBcQuS1UqU6ZjiklSAHIcbXVMeEyQBKuimLSsiHYEJC7MdrmHgqj7FnC/CVASHGY+m3hrFyZwTp\n9/ZDDXbPsWonVo3c1iw504t1g/rHdipYepwkjroVMrvbW1Wv9dN9w1y5RrzqSdeqUJGFZoXLSeLg\ndkUUxZp15fpExEgkYnlftn5MXyHLZrPadX1DaKveY8FgsKMNod0EYSwuLpJodZjefJduIdh0OjYl\nbnV1FX6/H9FoFPPz847kIhwOdyw63Q1MtIyUy2VNLHO5HIaGhjrSNDgYDCKbtZeFdtNsNatZyQKc\nr8WIS8OWv2NTcMb5fNP74xWNBAfYSVijyYNWuKlO2A2U9RLWTrlyDcdBGuIhDfEo7LUeZHDlSnWs\nImFlTczCG1MVI6+VEPupBH699thXeICTKyucpQEfcteEkT7Sj8xNfSjNVKpkdfrttgU3cuVoe3U+\nB9yKOov99zLav7/BSnLR5D3pVMjMGOELyOhaUPT7RKzqrvs3XqsIXzKVrrFQRcqYcP2P/+1/BQD8\nv9d9zdV+9LJoNdOs2M36MWOgB2sILQhC1foxuwpZK6qOgiA4fv7xeJxEq8P05rt0C5FMJvHqq69q\nCYGNTInz+/3ah0I3EwqFIAgCVFXF2tqaFmShqirGx8exc+dODA8Pd+wsktcVrU5PGWynZNlRtc5B\ntj4TyWi1jLUqmc2uGatTCWvF1C+rnmAAEGigEsZo1TS1eqgBDsJMAMJMAIBFGIqiYPjFEqZO5BD9\nWQH971ZefyniQ3mUh+oDAhkZwy+WMPKrEvCfdHcNchAm2BTFzWpYaTJQvXYs5N3zb7dYucWqn1oj\noS5mUtdMRY0JmtvXMOIrWa4N06/hzCj9Wpz8qjSIsfCGSMkDmApmkCxvfqYx6dILF1CRLrfC1eui\n1eqTrDzPo6+vD3191oFKAGr6j5VKpaoKmbEhtFWFzM36MbdTB2+55RbH2ya8pzffpVuI8fFx3Hrr\nrZ7IRTua7TaKJEkolUpYWlrChQsXMDg4iGg0WtM0uJNYVdwagSSrAm+c4+UAo4xZTUMa4QumP7ei\nndHXRuwkDPA2hZDhZKpmvelaRhHrlFw5QtmIYX8yj4mTeQxcrMhV5sY+XP4fRrByRwTrV1SfJa5b\nHXu1hNhPzKtj4ii/uU5syq8Fe2jX2doxi8/kbpYrJ42qneKkWua0otboiQGrkw0DPgGBOn+HEV3P\nrl2BVNXv8koI6ANS8iDeEaMAgGQ5gslQHkmx0q9KVrmqKpdT4ep10WpVmxW3sIbQdoFbxobQLNDD\nSUNoY6AHx3EQBMG235meeDzecLNiwht68126hWBNcpslEAhAkqSO98vSUygUtL5eoiiiv78ffX19\nOHToUFemAzVb0dJX6poZ028HyWpEsEy3YzPg00/vsYLJWCclywn1pmA5FTGv18HVEzEvjrVm4Moq\nRs8UMfFUHrFTawgvV2LYV28ZwLv3jGHlaATihPW/QUfVMbZ2TFsrZhSyMiKvlhBMWawd01XHREOi\nImsM3Uh1zEux8uKkyua2at+zitrYcdlMxVVPxKYhshvChuc2srHdHf48rg8tudiOikzu/7O9jT8I\njEWBjMWixjDX3GdaRqkcP1PDv25qO62gHRUtL3HbEFpfIcvlctplFughCII2ljAL8wgEAtoYanFx\nkUSrw5Bo9QhsWl4nP5wURcHq6qq21iwcDiMWi+HgwYPo6+tDPp/HhQsXulKygMZEizVKTiQSSKfT\nGBgYwNmR+1u0h/XZLpLVyGJ6M3I2fbYYzaznaBf14uA7FTTSquhx222WFIw/U8DEyTxiP1pDIFuJ\nYU9+YADn7owg+cFBSMMerpvQrx3bZ792LLTCIu7LWqJieCNhcejVEkI/lsCXzKpjvirxqu45Vklc\nLI/6wHv4Z261XOnxOfhMCHpU1Q17IGehJj/DwnVnllj/vp/zbti2rNT/G8ezV9X8rNPyJYpiw2u0\nuhmO4zRhsuPs2bOYn5+HoiialKXTaYiiiF//+tf4i7/4CwCV9flra2v4q7/6K8zNzWFmZgYzMzOY\nnZ1FPp/HF77wBbzwwgv4y7/8S/zpn/6ptv0nn3wS9913H2RZxr333ov776+MWS5cuIDjx48jlUrh\nxhtvxD//8z8jGAxCEATcddddOHv2LMbHx/HYY49h165dNfvtdrvbBRKtLodFujfbMyMcDqNUKjku\nN3tFqVTS1lqtr69r8ev79u2rWSTq5dS8VuB02iV7zisrKxAEAWNjY5icnMTVV1+Nf3j3w03tQzPV\nLJKsTXwupmXV6+HD6FYhq1cN80paG8GJADo5bv05GdGfVGLYoz9bA7+uojxUiWFfuTOC1PsGoPR1\n9gSOGuBQmg2gNBsAz1kcU6oKf06p7jVm+B55RUAoWSsLSpCDMMlXiZg4Zbg8wUO1qY55JVf1xMop\nXlyZHwEAACAASURBVMjV1hAra7wUq1+JlQCIGF9AoInnpJevuNSP68d/1fS+uWGrVbS8RpZlyyC0\nAwcO4OMf/zgAIJ1O46Mf/Sg+/vGPY2lpCYuLizh79iwWFxdx8eJF7Ny5E7fffnvNtj//+c/j1KlT\nmJubw5EjR3Ds2DEcOHAAX/ziF/HHf/zHOH78OD772c/i4Ycfxuc+9zk8/PDDGB0dxfnz5/Hoo4/i\ni1/8Ih577LGmt7tdINHqEVhFq9UoioJsNqs1Dfb7/ZpYDQwM2MpKt4uWFaqqas85mUxqz9mrRskM\nL/plNUqn1mPVbKPNkuUGJ0LWjTLmZNpkN8pYMCFh4lQekyfzGPvFRgz7hB+Lv62LYQ9055pUSzgO\n0jAPaZhH4Srr48kvKghuVMeCOhELLksIxWVEXhYwfqoAXjCpjo3xECd5TcCkKR/EKT/ESb7yfYqH\nNOKzXDtmxXaSq+0gVkyqzEgYplU3u+buxdQNANA24SqXyz27Po3h5MRvX18fgsEgbrvtNsvbPPjg\ng1XXz5w5g/n5eezevRsAcPz4cZw4cQL79+/HT37yE3znO98BANx999148MEH8bnPfQ4nTpzQtvOJ\nT3wCX/jCF2oyARrZ7naht4/ULYIXFa1QKIT19fX6N2wAURSRTCaxsrKCtbU1jIyM2Pb1sqJbgzr0\n+Hw+yLIMVVW1yPlsNqv1Mrvyyistn/N9r9wLYE67fmjwsuPHPbc+2dR+9zewBmFPeAVAd0hWNwuW\nG4wyZva8wj7vm2I3gj7Yop6MteskQN+7IiZO5jH5VB4jL6yDU4HCFQG88/tjWL4jguz1fZaNiTu9\nXkxPo6EhLBRCDXIQ5gIQ5mzO6qsq/FlFJ2CbYqZNV3yphECq9hiUQxzKkzyEqUqFTNR/Z1I26Yc/\n5M1r2utyBXgnWD8s1v6vsHr/zvrTAFDV6LwZ6WqXcLE+V72IJEmOI+OXlpYwPT3tavsLCwvYsWOH\ndn1ubg6nT59GKpXCyMiINr6Zm5vDwsJCzX38fj+Gh4eRSqUQjUab2u52gURrC+CFgITDYaTTaQ/2\nZrNpMKvgcByHaDSK3bt3IxKJNL2/3ZqOWCgUUC6X8fzzz0NRFESjUezYsQPXXHNN3f2tSFY1L63N\nmdzSnD6+8cF3I5IFAG+VJir35xuvMoZspGEmkHG0je0iWXrsnlNJcTYlplVC1ogEiDYR8YyGZExV\nMfhrAZNPVZICh16vVARzB0J4674olu+IYO2qkKPqi5t1at0kZfr0QVd9zjgO8ogPwogfuLqyVs8s\nyZATVARXJASXZQTjEoJxGcGVzcuDLwkInpRNq2PlcR/ESR7ljUpYeYrXKmPlKR7iFA952Lw61g1y\nBWwfwfqn3LxpeumOwGrV541euhakUdttyhshJbsCSVf70mrh6sbxQbtwG+3uVrQI7yHR6hGanTpY\nLpeRSqW0Ck4kEkEsFsPhw4c9XbTIAie6YSGkoihIp9NaeAdL9Nm9ezdisVjb9qMTkqXdv0WSBQCL\n5ZG623DaXyrmN++ttZUEyy1OhMypjLUjlt2xjCkqhl9cx+RG5ar/nTJUrhLD/saXJiox7Dtb+/nQ\naSnzMtpdn0hp+ncOAtIcj6LdeR9VRSi3IWFxg5QtV74P/DfBtDqmhLgNGeMhTflQ3rhcnuK1y9Ik\nDzXo/DXvdPWqsg/tnx4o6P6WoY21l/8h+Z6q28wFV6uE61J5zHRbTk50sZkIF8vROrc0l7EXUzfg\nYjmK35o6Vff+TpFluWerWYC7ZsVLS0uYm9t8Y3/rW9/C3/3d3wEAnnjiCdNGxrOzs7h06ZJ2/fLl\ny5idncX4+DgymYzWVoD9XH+fubk5SJKEbDaL8fHxpre7XSDR2gJ4cfYmFAqhVCrVv+EGqqpq8euJ\nRAKyLCMajWJubs5RBadR2DqtTomWKIracy4UClp4x969e8HzPN544w3XH/Jm1SynbFfJqodTwWIk\npNpGx26jn8f8a65u74ZOrXGqJ2M8p3raE6lRuLKK8dNrmD6Zw9SpHMIrEpQAh+TNAzh/bwzxo0MQ\nYpXn0sm1ima4TXS0ErNWyVWz8JwCcIA0wkMa4VG82vqz2bQ6tpGuGIzL6HuxjOHldZgtVaxXHfNN\nA/IwB3AcxAbbMQQ3jnWhwTh5vaCVGpjOP7Dxv0Pw4O/zwpv/hOuvvx7n1r6EmXAWmXIfZvsyuCxW\ni1U0YH4Sip3oEnSfEVeGEqa3ZcIl27xudjL2n+NHPZOtXg/CcFvR0svU5z//eXz+85+3vc+RI0dw\n7tw5XLhwAbOzs3j00Ufxne98BxzH4YMf/CC+973v4fjx43jkkUfwsY99DABw7NgxPPLII7jlllvw\nve99D7fffnvNGLGR7W4XSLS2AF5IDc/zddd5ybKMVCqFZDKJdDqN/v5+xGIxHDp0COGw9cJaL2FR\noe1KR2S9rVZWVpBMVs7IxWIx7NmzxzTVp52BHc1IVrNsJckyo5H+OqvS5jHn5v4R3nrtYydDJOzQ\nr5lTHA5avRYyfl1B7Od5TJ3MYfInOQRzCqQ+DisfiCB+5zCWb4tAGqpdi+CkMgZ0n5AxjGLGxMuu\nquhUwrwSrEalTw1xEHYEIOyoDIRNAzJUFXxG2aiOyQhsVMgCG9eDcQkDLwoIrJpUx8IcypO+jeqY\noSo25dOuwxCCEmzy2PWiAjbgURUmHHkDAKAoz8Hn8+Efr30IAPB7L38RBSmETLnSsmK2r1KxSpYr\nJ6EKUmVwfkVfdeWJfV4LSgAXBPOZGkzAnAiXFf85fhQAmhauXhcttxWtG264wfR38XgcN910E3K5\nHHw+H77xjW/gtddew9DQEL75zW/izjvvhCzL+MxnPoODBw8CAB566CEcP34cDzzwAG644Qbcc889\nAIB77rkHn/70pzE/P4+xsTE8+uijACo9vO6991488cQT8Pv9rre7XeBchix0z8T1HkJRlKYa5TKe\nffZZ3HLLLVXyUCwWtQqOKIoYGxtDLBbD6OhoR8rzb7/9Nvr6+lo6r5j1tlpZWUEmk8HAwAAmJiYQ\njUbrfoBdunQJqqpi586djh5rK1aztrJkedHA1Jtt2A/yO5E+6FWTaDvqyVggK2PyJzlMncxh4ud5\n8CUV4giP5dsjWLpzGIl/Nwgl3N7PnU4JmVdTDp1IkVMB86qq5kUCYZ9Yhn9DwAJxGYFlGf64snk9\nLsO/ItdUx1QOkMZ9kKZ4yJOV70zC2GVpkoeyUR2rR7OS5ZVgAZuSBQDPPfccjhw5UnOb33v5iwCq\nP8eZdDHZ0mMUL8HhGtErQ4mGhAsAZi/9h6omu/qvYDCIQCBgeYJ5dXUVq6urmJ+fb+ixtzrnz5/H\n2NgYxsbMp4Tqueeee/DAAw/g0KFDbdiznsTRG4AqWlsAr6bpBQIBCIKgTQlcXV1FMBhELBbDgQMH\n0N/f78njNAOraHlNqVTCysoKEomE1ttqenoa+/fvdyWUwWAQ+bz5VAwjJFnu6LRktUOwGPWi4I1S\nFOYa/7u0Q7AYZtWx0EoZ0z/KYvqpLKK/XINPAtan/Hj3348ifnQYqfcMdDSGvV6FjMmHJ6EsHp6r\ndCNF9XupVfZLqbNWz+749irePbzxGGqIQ3mnH+WdNn8fVQWfVhDYEDD/hoCF4hL8ywr8izLCL4jw\np2tfdyWMDfHalC9WGZOmePimfZAnfDXVMae0SrDqwSpcQEW6+nkRC+ub62Fn+zJVwvXOevWUPyZe\n9YSLVb+M05P3hZfq7uPCji/hvx99XGu2KwgCMpmMdpmdWOZ5vkbCCoUCgMoJU6fpe9sJQRBcTR3c\nbuudtiIkWluAZkWrVCohmUyiUCjgzJkziEajVeuOuolQKIRisdj0dlhvq5WVlap+Xvv3729KKFlY\nRyshyXLHVqliOcFKikqquzWLYU5sq2AZ6X9HwPTJLKZPZjH2qyI4FVjbFcRb98SwdMcw0of6LWPY\nGZ1cO2YmMU76jWn3N+x7pwTLdjsN7FPZRErZ36nZQJUgJ6Pf7ecIx0Ee4yGP8SgdCFhOEeRKKvzL\nckW+4nLlcnzjclxG+GwZ/uUSjB+fKgcoUR+kKR/kyYqEyVM85A0xkzeuG6tjrZYspzOR/vHah/Cb\nv/wqpgbyWC31YW4gWyVdI4Haac968cpJYewbWLbfP1+5SrbeLNXORjGTrx+mPwLAfiqhJEkQRbFK\nyLLZLGRZRiaTgaJU/t6sOmZWJQsGg9sqpdDN1MFcLofRUftkSaL1kGhtEdz00lJVFZlMBslkEslk\nEjzPIxaLIRqNYmJiAhMTEy3e28ZpZg2UJElaP69cLqf1tnLbz8uL/WummtUoW1GyeqmKVQ+vxIiH\ngrLqR9nB5jyLiFdVDL1R0uRq+I1K8E7mYB/euG8KS3cOI7/XWQw7w8naMc/XjXkkMUYpq3eUOZna\n10nBssKL1z+oew8WHU5bM8Lex2WrYyYEYGcAsJnxHYBsWh3Tpi0uyOg/W4Y/bbJ2rK+ydky2qI5J\nUzwkF9WxMZ6zrWK5qeY8efMDAIDf/OVXUZSDmnAB0NZzZcQ+7BpYrbnvkL+EuDCMnLS5RttMvNjn\niFX4jpl8ARUB+6uLd+HPdv2T6e/9fj/8fn/VyVFZljE0NKT1aFJVFeVyuUrG8vk8kskkRFGEKIpa\n3y0rGQuFQlumATJL56sHGy9uJ8ncqmyNI4uoK1qsaXAikUA+n9ckY9euXdrC0Xfeeacl0/K8xG0M\nvT4ZUZIkRKNRXHHFFRgaGmrJB0yrK1qdCMAgyWr0/t0nWG6xGhgZY/GDZq+VomL0V0XMPJXF9Kks\nBt4VoXJA6qYBvPy/zSB+dAjFHc6muDSKVzLmZeJfI9Sb2gcAZXXzNo28d7pNsACL48ol3pwsUQBU\nV8esYNUxJmBs7VgoLtWtjslRH6TJTfkq60Vs47IS4RCO/Np2f50OtvXohetyYVj7+dxAFiPBdVws\nbK75MUrXkL+kydabheqGyHrxMla36sEEzE62jBjDMDiOQzAYRDAYRCRSmz7LUBSlSsbYMgp2WZIq\nn+d+v99UxJikdUO0vJOxTS6Xa9k4iHAHidYWRVVV5PN5rWmwqqqIRqPYtWuX5ZsrHA47Xl/UKepV\njIy9rcLhMGKxGK699tq2JCM6Ea1Gq1mdmDJYT7IurFtH9kb8ztsFGBnkBWQbvG8/39zJAvZamTX3\ndEqYK2sD3/4Ggy06KVhWWPUdEzeeKycqmDi9htmTGcz8KIO+RCWGffnWCF7/gykkjw5CiHZXIpiV\njOkX8ndatNzi9tgdaGKNn57tJliV7bh7TmqYQ/kKP8pXbA6faqYsqir4tKpNTdRPU/QvK/AvyAif\nNV87pg4MQJ0+DGV6Gur0NJSZGajT01BnZio/m5mBNDDQcAVGL1xBXtKkS6tyiX2m0qWXLT168do3\nsOxathhOZavR1EGfz4e+vj709fVZ3kZVVUiSVCVjxWIR6XRau66qqiZ3VkLm9/tbIjhuKpnUrLh7\nINHaInAcB0mStKbBmUxGaxp8ww03OJqzGwqFtAjzbsXn89VU7ur1tur0/unphimD5wvOp4ZGAo3J\nUrOS1SheSVajmFUSinWCLYxo05xMDiM3U/m8Eqx6TZ35ooypZ3KYfSqD6Z/mEMzLkPp9WPrAEBbu\nGMHSbcOQIrr3YR1/9GKQ3QxmSWlOB4aeTbVsMwWXa/wYTNC6SbAAL6tYzWEZG89xkMc4yGM+CA6q\nY/64glj+P4JbWoJvcRHc0hK4xUXwp0/Dv7QEznDycYDjEB0bg2/nTk3I1JmZipRNTVUu790L2MjY\nkzc/gN/85Vcrz8MgXBlxU0bMpMtMuIDaatfOvtrpiHY4ka1W9tnkOA6BQACBQMC2xQxLgm4kzEN/\n3e34xU0QxuLiIolWl0CitUWIx+M4f/48xsfHMTs7iwMHDrguYYfDYVdNizsFC7JgUyE5jrPtbbUd\naLSatahb2OyWXpKsVgiWW5wMDp0M+Fn1RT/drJH9sxOsQEbCzE+zmD2ZweQzOfhLKoQRHgt3DGPh\n6AiW/91QwzHsolp/cNEKGWs0ilqPk7/PVpUxM0oOe5aZ0a+ronWTYFW200LJcgGrjsWu+zUsJyKr\nKrhUCtziIrjFRfiWlrB+/jyUy5cxnM/D98478P3iF+DS6aq7rZ07B3Vy0mKjFfTVLaBauABgMFD9\nuamXrrFQ/dCqd9fHsKZLODwQqZ9IWE+2uiFtkK33qic9ZmEeuVxOu2wM8zCTMX2YhxvJpMTB7oFE\na4swPT2NWMy8maBT2tls1y2sWXIikUCxWMTbb7+NyclJHD58uGVnrxqF4zgoilIjuo1Ws94pjOHq\nodoFxm/k7P9JAsBQoDH5IMlyTqfXkjHspre5mUrmg2IqA+FlEbOnspg9lUHsl3n4ZKA4GcCFfx/F\nwh0jSB4ZhOpv/UkORfWh5CDBzqnQeCFYbtguMtZsxbSoq6IVG5glO+KrTsTrlioW4I1kMWZG7Ndj\ngeOgRqNQo1Hg0CHIAJLxeGXQre/nuL5eqYhtVMNUF+OFJ29+AEdO/d8Yj1Si04N8RfvWypW/oVG4\nAGBV6EdaqFS+9gylLLc96Bc02Xotv1lhsZOuerK1VU62moV5GHET5sGmLV68eLFumEc8HsfevXtb\n/RQJB5BobRG8+GCpN+2t3ayvr2tTAgVBwPj4OKanpyEIAq666qqu6OtlBhPWRtaEvbw6U/OzoVDJ\nkVTV3K/NktUMW1GytoJguUE//YvJQOSdEnacXMXOU2nEXlwDAGSvDOO1e6bx7tExFK4L1o1h94J6\n/ZvMqCc0XoWVtIKSEnAUF9+RxtYdjNXXk1Eqg/hmovHH+YJ2uVuqWHrqSpYFpmEYfX1Qd++GvHt3\nQ9t87ugfA6hUt0TZr8kWYC1co6GKDL+VGwdgLVx62WLopQuoFS8z2eqm8YtXOA3zkGUZ77zzDlRV\nRV9fHwRBwNramlYxkyQJ9913H4LBICYnJ1EsFpFKpRAOhzE7O4uZmRlMT0/ju9/9Lh566CGoqopI\nJIK//du/xXXXXQcAePLJJ3HfffdBlmXce++9uP/++wEAFy5cwPHjx5FKpXDjjTfin//5/2fvzcPj\nqu97//esGi3WMqtkjWzLlmXLNjbGiLXkGhrqmLSQUK6jPrfB/MBpMWZpetNcJyWUp6UNtLlpwgWX\nX4DeKvQhNo/zA9/eOg4EAkkh8cZmwIBdLGwtsy/S7DNn5vfH8D06c+bsc84s0ryex49leXR0NJrl\n+zrvz/fzeYaeeXrrrbfi5MmTsNlsOHDgAFasWFF27nKPu9DQyXzgLrxHeYNQKBRUSaPeeOMNXHHF\nFTXpnEPazvv9fnq2ldPphMPhKJGqDz74AH19fXU7/+Hdd9/F4OBgyYvidb96QNGxOluUSU8tJEtp\nmqVUshpVsAB1JEsLwUKhgJ7TCQy8FMayl0Lo+bi4UAqub8P537PiwvU9iK5qldWGHVCe0CgRLLWo\nlYjJmcclBbVkrF4Ei4la88fUeC71G9RtJJUK/QwWi0VRE4WJiQm0tbVpNqqFK91iwpVwkXSLwCVd\nbNnigyldTNnKZrM4deoULrnkEknHWWicPXsWVqsVVquV8//z+TyCwSA+/fRTPPzww7j22muRy+Uw\nPT2NqakpzMzMIBKJYGBgAC+//DJ+9rOf4cEHH8TRo0dBURSGh4fx0ksvwe12Y3R0FD/5yU+wbt06\n7NixAzfffDPGxsZw5513YtOmTdi9ezf27duHd999F0888QT279+P559/HgcOHCg5JyXHbSAkvVE2\nE60GQa2ovKWlRXEao4RsNkvvtZqdnUV3d7fobKt6LnEEqjO0uN5oVMkK59plf20ayrvmkQ6E8x0J\n5T+O1RYsHVWA/e0Ylr0YwsBLYSyZTCOvB/xbluD4Xy7Hhc/3IN5fWRt2sXSJLWK1FCwC1/BdJmqL\nmNqCRYhLaMYiJmNNyRJniuJPG+SwseN1pNNpmJYIN1FgSxhz/04ul9N0nxJJt0Zf+kfo9cX7z9U5\nL5qxrBnhZBsGOiP053pakiWyxZVycSVbXDDTrttO/Q/8y0WPACiuJxZi4iEVsWHFer0eDocDDocD\n4XAY99xzD9rby98DKap4IfCKK67A5OQkAODYsWMYGhrCys8S0bGxMRw6dAgjIyN45ZVX8OyzzwIA\ndu7ciQcffBC7d+/GoUOH8OCDDwIAbrnlFtx99910eSNByXEXGk3RaiDkDC3mg8yp0lK04vE4fD4f\n/H4/KIqSPduKRNL1ClMEs9kstv3mbxQdp1HSrGpJ1ky6i/5+MUr+wr/LWExn0gpaC1e6j4uvxXsi\nL31RMN+NUHgBJZYe6ZGHPpNH729nMfBSGAMvh9EayIIy6TBzVRfeu3MpJn+3Bylb9dqwExHja7Wu\nRoqoFqRZh1DTDjkpklaCJQc+GWMLbzej1K5W1Jtgqcmo7QQASGqiwNdiPJPJIJlMIhAIYGpqqqyB\nAhE0g8FQ8QXa49d/nZYt72xRNIlw9bQmcGF2vhnTQGekTLaAeeECitIlVbaYENlS2tp9oZDJZCR1\nHSwUCkin07zbL4ikP/3009i+fTsAYGpqCgMDA/Rt3G43jh49imAwiO7ubvrCuNvtxtTUVNnXGI1G\ndHV1IRgM0sOklR53odEUrQZCLdFKpVLo6uoSv7FEyGwrn8+HcDgMi8UCp9OJjRs3KhK6lpaWup73\nlc/nMTMzg/Pnz9Ndg+SyGCSLiFM1vh+RLCVUIllKZ2gxkVtmyJcetSSzcP86jBUvBjHwWggtcxSy\nbXpc+C9WTF3fjamtXch21OYlX2ywsFgzj2qImJRuiAShFIlIWD0IlhBcqWKEEk+AtZSxxSBZUiBN\nFLjSCAB4//33sWzZMphMphIhY8574hvAy0zKTCaT6DYCIlsAOIWLQKRroDNSJlsEpnS52mIS7olS\nFrtoZbNZSfPT8vk8dDqdoGj/8pe/xNNPP43/+I//UPMUm3DQFK1FhsViUSUtSqfTdCOLRCJBz7Ya\nHh6uuKSh3koH8/l8yd4yoHg/bty4ETcc+7san504akvW+QR3fTihx5zAHM+cFSXfTwylkqVViiUV\nNfZxtUSyGHw1gBUvBtH/egTGdB6pbiMmfs+OiettmL6qG1QLYyElso5tUVloxARLKkTEKA45qHSP\nkhzBkkI83yL4c6sh55VQadkmU8b4ZNKmYD9TU7Kkk8vl6BRL6GIm1wDeWCyGYDBIp2Oko53ZbIbF\nYuEcxMtVSkiEy2wqfR0jwtXRIvw49yY6MJu0YLVN2mzP2079D/yd7b5FLVqAtG0kgUCgJFV6/PHH\n8eSTTwIADh8+jEAggF27duFnP/sZbLai/Pb39+PChQv010xOTqK/vx82mw2RSIRuwEI+z/wat9uN\nXC6HaDRKH4+g5LgLjaZoNRBq7NNqaWlBNBqV/XWFQgFzc3O0XJHZVqtXr0Z7e7uq7VZJeWMtyeVy\nCAQC8Pl89N4yp9OJoaEhWrqUll9WM81SIlnn5qzobkkhnJHf9bHHLD5bhQslktWoKValgtXmTWPw\nF0EMvuRH3/Eo9BQQ62vBhztc+PR6GzxbuhS3YU+LJEtSRUwtwWLCJVkAf7okJmBqCxYg7ecWGnCt\ntYSpuTdOKLELStzPZDPMqSZYQH1KlhZwdh3kQM4AXqaMESEjH5M9PT+yb8WfBF4FAFq4MllDmWwB\nQCxdfJwLCVdnawpngvNCICZd3w7+EA87vi54m4WKnPlhMzMzWLp0vsPxnj17sGfPHgDA+fPncfPN\nN+OZZ57B8PAwfZvR0VGcOXMG586dQ39/P/bv349nn30WOp0O1157LQ4ePIixsTGMj4/jpptuAgDc\neOONGB8fx5VXXomDBw/iuuuuK1sLKjnuQqMpWg2EGjJjsVjg9ZbPbOKCzLby+XyIRCJYsmQJHA6H\n5rOtapVoJRIJem9ZLpfj3VtGzk9pp0ElKC0Z5OLcnHAi1a1QBJVIViOlWLUUrK5zCaz4RRCDvwjA\n9U4xLYisbMW7X3Nj4vM2BDZ0yO4UqAQxEQPUa2tP4BMsMYTK+9RudKGWWBIJY+/T6zIou4BBqJZg\nycWX6xS9Ta9R2oXBepUstdMsAJxzHCtBr9ejtbUVra3cJX/A/LynV9JDSKfT2P7WMyWyBZSnW4C4\ncHW2pjCbLF60JNIlJFx7/f+If+l9RMJPtbAQa4TBZHp6Gn19fZz/99d//dcIBoO46667ABRLS0+c\nOAGj0YjHHnsM27ZtA0VRuP3227F+/XoAwCOPPIKxsTHcf//92Lx5M+644w4AwB133IGvfvWrGBoa\ngtVqxf79++nvv2vXLhw+fFjRcRcazfbuDQRFUXTdtVLS6TROnTqFSy+9lPP/uWZbORwOdHd3V7Ul\n/BtvvIGrrrpK0+/BbDcfCARgNpvpdvNCbzipVArvv/8+/iJ+SPb3rGaaFUjJT6QWg2RFc/y/Wz46\nKhjUDAAWGQv7Nn0aKBRgOx3H4C8CGHwpAOuZ4v3r39CBiett+PR6GyKr6mfOnBQZktsCXqlgCSHW\naESJTKud3omdIxsxCatXyVJzkHS/KazasdREC8kCgOPHj2N0dFSTY8vhop/uAwC0dc+/JidmLei2\nce/jm4tZ0GcrF2ciWlzwSRfpRLhYiEQi8Pl8JSkUH08//TT0ej3uvffeKpzZoqbZ3n2hoUaixU6L\nuGTD4XBgZGSkbgcGV0Iul6NTumg0iq6uLjidTsF282zMZrMiyVJKtSRLKbWSrGCGvxSGSednXxPN\n17dg6agClr4VwdAvfFj1sg9dUynk9cDMlm786tv9+OR37YgtZSxIWBfwlc6yqgQ5MiTUAp557rUQ\nLAJfWR+XgNVasAhRiv+5vkSv3nDyepWsPPS4kLWJ3xDAgIl7oK4WaCVZ9cSpP7wLF/10HxKRVlq2\n2jpTiATbOWVrSUcKM8FikySmcDFTLTZ8KZfaqV69IyfR8nq92LJli8Zn1EQqTdFqINQQLZ1O4C0S\nMgAAIABJREFUR3fNkzPbqtrodDpZNclCkJTO5/Mhk8nAbrdjYGAAGzZsUHSfKn1xV5JmSZGss5Hy\nRUa3RX7qoyTN0kqyAulSieo2fTZYV6JcETor2MdViWRJFSxDJo+B34Yw9LIPK1/xoz2YQc6kw/mr\nbDhx53Kcu86OlFXam6vYLCv63FQQMrVlKJU3cYpGpQ1LlMoLG6aAkcYc3RWW8zFR6zwJmc9mhAUp\n7ueLzSCv41s9S5Yc+ISMef+vNPsqOidAW8mqtPOw2jBlCyimW0S2AJQJ15KOFOZiljLhEpItAGV7\nuW5//1u4K/mH0Ol0nA085A6BrnektnYHinu03G63xmfURCr1sapuoimFQgHxeJwuCUwmk4jFYrJm\nW1UbMlhZqISPj0KhgNnZWfh8PgQCARiNRjidTqxbt06VlE7J3iylJYNMuISKi3qXLLZEiUEkSy5K\nJUtrwTLFc1jx6yCGXvZh8LUAWmI5ZNoMOPdf7Dj7eScmP9etaRt2ucOFmVQ7beKaQyZFvtQWFwKz\nDX2EJ0mSI2BanGdGZBAzIF3A1G5Rr5ZkqZkmsn8Hn2Scol8jJGNaJ1laDytWwqk/LO73YaZbbZ0p\nJGYtvMJFYAqXmGwRiHR9Ha/h15/778hkMrLb3LMHQdd7OpZOp3nb/bOZmZlZsB38GpGmaDUQZC6C\nlCta+XweoVAIfr8foVAIbW1tcDgc2LRpE95//3309/fXdWkgKXGUKlrsxh2dnZ1wOp0YHBysm5RO\nDv/pt2NJWwo+yJSSOpKsmUTpRndrSwJpngUeH0okqxaCBQhLliWcwcpf+jH0sg/LXw/BmMkj0WPC\nx9uc+M/PO3H+Civ0lvq4Us0lYtnPFu9qdsVTKhl8Q6CJgGkhL2JzvphwCRiXfGmVYlUCU8DYg79d\nJvndapk0gmRJhUvGVpp9VSkXlNpxsBaw0y3o51/TmOWEJNViwhQuKbJFuOZX/xOvb/0L2W3u4/E4\nQqFQSZt7nU7HK2MkHasVmUxGcumg3+9Hb2+vxmfURCr1+Wxtogj2bCur1QqHw4E1a9aUXK0hs7Tq\nWbSktHhPpVJ0SSBp3NHf34/169drltJpkWb9p99e9rklbfIX/bWSLLZQcWFtkZ9+NYJkxXIWtBk+\nS1hYD7mOmRSGXi7ut3IfD0OfB2Z7LTi1ox9nrndienM3CkY9TLqcqi2u1STLWrzL2cPEf0xtrsaH\nOIbtVrpHSY5gCcGULyIwVqP8ga18qCFZTNiSBQDeLPcAcjEBq2WpoBBqPw6rtSeLoqi6FS1gXrYA\nAHldmWwBxXSLS7aAeeFqb1Pvoo7abe5NJpNgOqbF+iOdTksqHSwUCnX/GFlsNH8TDQYz0SKzrUiJ\nnF6vlzTbqh7mVInB1eKd+fP6/X4YDAY4nU6sXbtWcqReCWq0c+eSqlohV7Km5rpga41jRkJLZibV\nkCwpgjXL0W2QfF1MwYDlNkNmXrJQTFpsn8Sw5mUP1rzswdL3igtQ/8oOvLFrCB/9bi886zpL2rCb\nCpQmnfAqhS1YYkgVsGqnTXP58t+rVPlSS7KYMAUmlCtf8CmRr2pIlhBCArZYJOsrfYdVPZ4Q9Zxo\nEYRkC5gXLkML/yiIeKL4miJFuK5+9R/w+ta/UHi288hpc8+Usbm5OQQCAaTTaWSzWXoItFA6Jrf8\nU+rvPZvNwmQy1eWWkMVKfT9bm5RBURSd4pDZVk6nE8uXL5c8Mb2lpQWplHrdqLTAbDYjmUyCoiiE\nQiH4fD6Ew2FFP2+tmJrpgbk9C7/M8r9qpVlCTM2VL55srdw19kLIlSy5ghXKtsFqSnBKlBhK0y+m\nXNEUCvh/xl7H0veLcjW9oQuv/NkafPS7vQgNlv/+5cyaEhpwW3ZuFUqZXMESg2sulJriqESG2PLF\nFi8tBAuQJjBy5EttwQLkS5YQn2bK95S6TSFFx2pK1jyNIFpA6b4t5D9b9LOEi0obBGULKAqXmulW\npZDmG2azGUuW8A/mpiiqLB2bnZ2lSxVJOibUyIMpTKS0UYyZmZlm2WCdUf/P1iYleL1eRKNR9Pf3\nY926dYo2cFosFgSD1WtzKxfyguTxeODxeGC1WtHb24uRkZGabViVkmZNzfRU4UzKUaNkkEusmNRa\nskJZ7jJXq0l+WlZJJ0JOyQIAnQ5ntrpw6iY3PrrOhblebvFTe5gvGyEpExMctSWreMzyRS3XOcqV\nLzVliCleCap4bl1G9ToKViovXPLVYVD/QpmakpXieSxNZrmHpQsJWD1LFlDcD6N12RiTRhEtgli6\nRaWLvxMh4Yr6is+BLid/4qtWqqUWBoMBbW1tgls0CoVCWSOPaDRKf5zNFhsT6fV6pFIpnDlzhlPI\nmOsij8fDO6y4SW1oDixuMNQYWjw3N4dz585h48aNKp1VZRQKBcRiMbokUKfToaurC/F4vG5mQbBF\nS4pUmdvlt9GuRpoVz0hPSIDqSRafTHEeX4FgASqnWDLQWrAqIVswVNxGneuYlcAnXlqlTUSw+FAq\nXmrKC4GvGYjTNKvoeGqfI59kKWGpKaLasQD1ReuawlMli2TSVEGv18NisfAmFZVcMJycnIRer8fS\npUtV/Em0h5YtoEy2AEAXNUHv5H//y8XmH6dCwlVPsqUWsVgMZ86cwfLly8tSskwmg8cffxynTp2C\nzWZDW1sb8vk8/viP/xj9/f30n9deew0PPPAA9Ho9jEYjfvCDH+B3fud3AADj4+N46KGHAAD3338/\ndu7cCQA4efIkbrvtNiSTSdxwww344Q9/CJ1Oh1AohK985SuYmJjAihUr8Nxzz6Gnp3xNJPe4DYik\nk26KVoORz+fpqxxKyWQyePvtt3HZZZepdFbyIV0RSUlge3s7nE4n7HY7vT/rnXfewejoaM3Okcma\nA/8o+2vkilY9ShYgX7SkSJYvNX+V3m6RefwqplgLXbCEUCpfWjW70Ovy4jdSgJhkcSFFvKopWVxI\nEa96liyA+3czZPEqOlY1Swa5ysaYf/L5vOIOdxMTE2hra4PTKd6Gvt5gypYhZAJlL32N0UWLj0c+\n4WLKFsAtXAtRtCKRCHw+H4aHh3lvk8lkMD09jX/+539GMpnE+vXrMTU1Rf8JBoPQ6XQ4cuQIfD4f\nduzYgQ8//BChUAiXXnopTpw4AZ1Ohy1btuDkyZPo6enBZZddhkcffRSXX345brjhBtx7773Yvn07\nvvnNb8JqtWLv3r14+OGHEQ6H8cgjj5Scj5LjNiCSRKtx8ucmANQZWmwymSqWNSVkMhl6fxnpikia\nWbCv8NXqHLmohmQpQY5kTYW7i1/TLk841JAsplSxqSfJYu/zajemMUfJb5JBsOizZYs7tZMjJUhd\ncMqdYaWVYPH9Diot71MiWIRorjx9JeejhWAB8iQLAHzZ8qY1TPlqRMkCgLMpF+fnhQSs2vuypJSN\n5fP5srKxeDyOVCpV1uGOmY7Nzc3BZDIhk8k0XNODkjJCAIaAuUS2Cl1Z6KIm5H0WTtkydmRLZIur\npLDeSgjVQEprd7PZjBUrVgAA/uAP/gBf/OIXy25DgpVz587Rj5uf//znuP7662G1Fst6r7/+ehw5\ncgRbt27F7OwsrrjiCgDArbfeihdeeAHbt2/HoUOH8OqrrwIAdu7cia1bt5aJlpLjLlSaorUIIfO4\ntIYMSiYlgQBgt9sxNDSEjo4OwXNopDcPNtUoGRSTLCJWJV9TBckSkio2WkoWaZIBcHcbFKLdWNnG\na6GBv3IXy4B6cqbGYpPr/LVM7YREly07csSrEsniI5prQ4xxXLtJnfbtSh4zfBD5in12v/abw6oc\nt1qSJQSXgA1ZvHXb/IKUF4rNf2J3uEulUggEAvD5fPTFSL5hvBaLBSaTqa6G8ZImGRc/+SQAYdkC\n+NMtJlFfx4KWLamt3QHhYcUvvPACvvWtb8Hn8+Hf//3fAQBTU1MYGBigb+N2u+kUzO12l30eKPYK\nIPvAent74fWWX+RQctyFSlO0Ggy1BMRgMGiyqTafzyMcDsPn85UMSr744oslv1Cwj1fLNwklaVYt\n4BIrJlpJlide7Lpkb4tLliy1BEtoT5fSPVyVSJaQYFWC0EJbqoRp0lb9s0QkhfJkZEmFzRqUJIlS\nxUsLyQJQIlkAEMgyymMVSpeakkWIMe7bqUzpvgol4lUPksXHqcQA5+fXtk6r9j20hKvDXSQSwYoV\nK0pGmkgZxqt2u/FKeftrXyuRLQBlpYQAytItdqpFkNIwo1GRM/fU4/HwitaXv/xlfPnLX8avfvUr\nfOc738EvfvGLis+tWhfuG5mmaDUgzFlaSiGztNQQrWw2S5cExuNx9PT0wOFwYHh4uKIXb7PZjGw2\nq0jQakU10qx4sgXxpPT7RE3JImLFxN4mXZyUSFY1mmRomWJpCd9CnAiYVuV8KZGyM7YoyRGvSso1\nmbDFS6vkjS1YXDClC5AmXlpLFhds8QKE5aueJSspcP99mCxvJCFFvqrdyp0LrgukRqMRRqNRcJ4k\nRVF0qWIqlUImk6HbjTP3jfG1G7dYLDAYDKouqpmyBcynWyTVIrDTLT7ZAuaFa8Nz/4T3duxW7Vxr\nSSaTkbwOCofDsNmKoxUef/xxPPnZ/Xv48GG6gcrnPvc5fPLJJwgEAujv76fLAIFis5WtW7eiv78f\nk5OTJZ8nAudyuTAzM4O+vj7MzMxw7hdUctyFSlO0GhA1RUvpoF9mSWA+n4fD4cDKlSuxZMkS1V6I\nSVOMWolWNdIsOZIV9Bclx9Kh3T4ftmRxiRUTtSUrkJp/PNotcc0lq1EFS4woR7lkpY09AHHB4kOK\neKklWFywZahHpfbtUiSLCzHxqoVk8cGXetWzZClBTL7qQbIA5e3dDQaDpGG8zH1jqVQK4XCY/jfp\neGwymThFjD37SQpcspU3ca9v5JQTLiSklg6SdSG5//fs2YM9e/YAAM6ePUvP4nrzzTeRTqdhs9mw\nbds2fPvb30Y4XHxev/jii/jud78Lq9WKzs5O/Pa3v8Xll1+OH//4x7jnnnsAADfeeCPGx8exd+9e\njI+P46abbio7FyXHXag0RasBUUNkLBaLrKHF+Xye7nwTCoVgsVjgcDiwceNGwRrzSiAyKDQUUG2Y\n3RDlonYDDCJWTORKlpw0y9YaFxUrJpVKFlOqxG4rRrUlq14FK5vnT7ASFEdzCxnypVSyuNBSqpjw\niVCYlXYpES+lksUFU7xmcxb0tihr1c6HUsniYirTg9ns/PEG2/wVH1NtyRJKs+RA5OuvVj6lyvHU\nQMtyemYnRD4KhQJdqkgad8zNzSEQCNCznwqFAgwGA6eIkXljzJ+BLVv6bHGNIyhcbeIJ9UJJtaTK\ndSwWQ3t7O+ca8ac//Sl+/OMfw2QyobW1FQcOHIBOp4PVasV3vvMdusPzAw88QDew2LdvH92Gffv2\n7XTDir1792LHjh14+umnsXz5cjz33HMAgBMnTuCJJ57AU089pei4C5Vme/cGJJfL0R2JlDI9PY10\nOo3BwUHe22SzWQQCAfj9fszOzqK7uxtOpxM2m60q9dznzp1DS0uL5vNC2KWPVqsVX3r3iOzjqNHO\nnUuuCFpJViDajq4l8soLlUgWn1hx3VYqcgQrki1eyRUajCxGi0H+DDsthstyISRZcmDLl5qCxWY2\nVy4AnUZ17i+lIiRFutSULCZc90el0qWmZAEokSwu5IpXvUoWk3oSrePHj9fN2BMh2PvG2H/IvjFm\nqeKXXnqp7Dh8sgUAeQmyBaDhZevYsWOSxvF8/PHH+O53v4uDBw9W4ayaoNnefeGiRqLV0tKCaDRa\n9vlEIkGXBOZyOdjtdixfvhydnZ1V3/BIEi0tYP6cFEXB4XBg1apV890QZYqW0jRLSKwqQUyyAlFl\nJaOAdMkKJNphb4tLEiygcskiIiVEtSULkL7QVSpkagkWgSRfRCbUEh8mXELB9X9Kv3clIsRMu9jS\nVU3BInjSpW3a5YhXtSULAM4lHCX/ViPxkspCl6xGQsq+sXw+XyJf/2fbNtz485+X3Eaf1fHKlj5h\ngDmiR2ppfVYYqAFFUZITTLJvqkl90RStBkQt0SJXlUhJYDAYREtLCxwOBy666CLNSgKlYjabMTc3\np8qxCoUCZmdn4fP5EAgEYDKZ4HQ6a/JzZmfaUOjMIhiXnhSosS+LT67kpFlikhVIMPZYadAkI5Ju\npWd1SRErQi0ESy58i2I+AVNbsErPZV4o1BAfJkJSIXRbKd9bbRFilxhq0VBDzv0BlIqXkHSpLVlK\nERKvajW/UEq9SVale7PrDb1eX7ZvjF1GCAjLVqY7D8u0SVC2GrmEUM4+9enp6QXfWKIRaYrWIiSX\nyyEajSIUCuH1119HV1cXnE4nVq1apXq790qoNNHK5/MIBoPw+XwIh8Po7OyE0+nE4OCg4M8ptwmG\nlDQrOzO/YCt0yrv6VknJoFhyValkMcVK7La8x+WRrEi6XKS4BiKLoVSyqiVYYnAtmLN5PToM6qe9\nYqLClgK54iVXKuR8b63SJoBb6h3myttIV3J/APzSpYVkSUmzpEDEay5X/H0NtVcv8ZJDvUkWUHzv\nrnYb9lrAJVutnmKqk+zNc36NZfqzcRM8wnXs2DG6xT1zvxjzTz3NGyNIGVZM8Hg8gttBmtSG+llV\nN5GMkkQrmUzSpXLZbBY2mw1GoxFXX3113c5AIF0H5ZDJZOj9VolEAlarFX19fRgZGanJiyhTsKpB\nd3tSclmgUsnikyuu2wrejiFYXFLFRq5kNUKKJZdsfv4xzBaLSsVLiahITZwqFQqxY+p12l3p50tO\n/Zn5BhZKpEvt+4RIVzhTfH4OtKkzjBhQT7IIRLIA4Gx8PvFSKl1apFn1SC6Xg8mk3Z7JeuLtr30N\nwPxg47StgJagDq0efZlsZbrzMEeKr4186dbtEyfxzh/+Sdnw52g0WtbiXmjeWLUvRssZVuzxeHD1\n1VdrfEZN5NIUrQZEihgVCgVEo1H4/X66VM7hcGD9+vV0TB8IBLQ+1YowmUzIZsXTH7Lfyufz0a3m\nh4aG5vdbyUCNNEtIrrRMs3I5vSaSBYjLFUGqZBl1eUlyBSzOFIsNU7D4UCpeaiVBfImTFpJFiHC0\n/7ea5Xet5D++tMeoXOnS6j4hkgUAFxLzbdkrkS4tJYsNU7oAaeK1GEoGCRRFLYpEiwkz3apUtgwG\nA9ra2gSH/+bz+ZIW92QANBEz0ojMZDLxJmNyW9wLkU6nJSdaMzMzzdLBOqQpWg0K1yytXC6HYDAI\nv9+PSCQiWipnNBrr+gqZXq/nrEknEkn2W7W0tMDpdGraal4MLZIrLedlSSEy24buTumSIyZZ4WTx\nPnK0Sb/6X80Uq16RIllciImXlqV2AHA+aaU/7lY4SFoILskCgNBnslGJcMnZ/8dGTLqqIVlslEpX\nNSWLCzHx0kKyvtn3vzRtoV4JSmdoNTr/9oUv4A+OlDao4pItJlylhFL2aun1elgsFsG1RKFQQDab\nLZGx2dlZut09uUBsMBh4ZYzd4p6PTCaD7u5u0dsBRdFyu92Sbtukeiy+Z+wCgYhWKpWiSwLJALr+\n/n6sX79e9IoK2QNVr6JFKBQKJfutIpEIva9s5cqVqr3xyE2zdLMmZGel33dy0ywpJEPFBaGpU3rZ\nmFCaFZmdX7xWKllErJhoKVlAcYH81MWPS7rtyZMnsX79eklyTpqpeL1eBAIBtLa2wuVyweFwlDx/\n/vLDW2WfMx9KBYsPdoMLLboJEtgSRP6tlnDxSRaTEEM85EhXJZLFhi1dtZAsNlKlS23JUgM1ygxF\nv8fZs6JlZGTxXO10abGKViaTwS++/GV8/vnn6VQLKJctZqpFEGuUoQSdTgez2Qyz2Sw455Pd4j4e\njyMcDiOVSiGTydAt7oVKFeUMK04mk4JdHpvUhsX3jF0gTE1NYWJiAkajEQ6HAyMjI4JxOBdkaHFH\nR4f4jWtAJpMBRVH0FHOr1YqlS5dKkkitMF+Yf8HLdvFfTasUoTSLyBWhUsliyhVBqmSxBYtLrghS\nJUuqYEkVKj4MBoPgPDrSkdPr9SIYDKKjowMul0tQ7v927Y85Py9HwNQWLCbMhb7a3QQBcQFi/r9S\n6ZIiWWykSpeaksXmozkXAKCvtXysRiXIkSw2fNKlhWTJTbPEqEbJILuMLJVKIRaL0f+mKIpedPMN\n51VTjBaraGWzWZjNZrz9ta/h8odLf0diTTKA0nSrmh0IlbS4J+kYU87m5uY4k7FsNguTyYSenvnn\ncb3uuV/MNAcWNyjRaBQGg6GiNGpiYgImk6muanrj8Ti93woovrGsXr0aDodD0xcQsTSLKViAfMlS\nY28WW7AIUkWLLVlcgkWQIlpEsoTkCqg8xapUqPg4deoUVqxYUXJFMp/PIxwOw+v1IhQKoaurCy6X\nS7Mh3WwBq5ZkCaFUupQIEEGKdFVyfD6Y0qWlZIXS3AutSqWrEskSokvlEly1JWs2U/pYHunyVnxM\npfuyCoVCmYwxF825XHHfp5iMSXl/m5ychF6vx9KlSxWda6Ny6tQpDA0N0fvL2bJFILLFTrXYnPiz\nXeqeoIYcP34cW7ZsKSlVJI+x1157DePj44jFYigUCojFYti2bRv6+/vhdrvhdrvpjycmJnD11Vdj\n//79uOWWWwAA4+PjeOihhwAA999/P3bu3AmgWO1x2223IZlM4oYbbsAPf/hD6HQ6hEIhfOUrX8HE\nxARWrFiB5557rkTyCHKP28BIOvmmaDUoFEXRL+BKmZmZQSKRwKpVq1Q6K/mw53hZLBY4nU44HA60\ntLTg9OnTcLlcsFqt4gerAC7RYssVEy1FiylZfHJFkCtZQnJFkCJZBold3uRIFgD8f5f/g6zbV8IH\nH3yApUuXorOzE4FAAF6vF9FoFD09Pejt7UVPT0/V9mm89957GBgYQFdXF775wW2qHruScjWp0qWm\nBHFJlxaSxUav0yah5pMsNnKlSwvJimTKHyvL2yvrXqi1ZHGhRLy0bIDB3NPDFrFUKkW/l5tMJk4R\nIw0WPv30U7S1tcHpdGp2rvXIm2++iY0bN5akeXyyJXWyQaPI1rFjx3DZZZeJ3u7tt9/Go48+igce\neACTk5OYnJzE1NQUJicnceHCBXi9XixduhS33347brnlFoRCIVx66aU4ceIEdDodtmzZgpMnT6Kn\npweXXXYZHn30UVx++eW44YYbcO+992L79u345je/CavVir179+Lhhx9GOBzGI488UnIeSo7bwEgS\nrcWXQTehsVgsCIfVawEsFYqiyvZbuVwuDA0NlaUGSlq8V4qQYClBjmQVMgZRuSLIKRmUIliAsGRF\n54rnZZVYVihFsqopVkxyuRySySQ+/vhjetyB2+3Ghg0banKFTa/XI58vLvT/ft2/0J/PZrP4yzNf\nU3zcSvcEiZUXaiFA7P1cWktWIFUqLM5WdYakA9IlCwBmkl0ApAmXVkkWF5/G569Yy5UutSVLKqej\nLvpjKdKldZdBKXt6CoUCvaeHyBgpIUulUrSomc1m+P3+MhmzWCyqdrurJ7jmhx3du4tTtgwp6bJV\n78hpyuL1erFixQpcdNFFuOiii0r+7wc/+AFMJhOOHz9Of+7nP/85rr/+evoi9vXXX48jR45g69at\nmJ2dxRVXXAEAuPXWW/HCCy9g+/btOHToEF599VUAwM6dO7F169Yy0VJy3IVOU7QaFDVeTCsdCCyH\ndDpNz7dKpVKSm3ZU4xwv+t4+mCF9QaDV3iyj14xsD/+eIaUUCtIeK3ySRQQLUEeyaiVX2WwWfr8f\nXq8XyWQSer0evb29WL58ec0XJ0zRYvM3q/5f+vzuP/snko6n9dyqTmNKcwH6JGanP1bSGEUKbMkC\nAF+yuBCuVLjkSBYTIlwAt3RpJVlcaRabSqRLDaSkWWzEpKteWrnrdDqYTCaYTCbefdOkwsNsNtOJ\nWCwWQyAQoLvdFQoFGAwGzlTMYrHAbDbX/PVOCVznXIlsXfqDp+o+1ZIzQ4uvtfvU1BSef/55/PKX\nvywRrampKQwMDND/drvdmJqawtTUVEnnQvJ5oChzfX19AIDe3l54veXPJyXHXeg0RatBUUu0Uint\nOo/FYjG6IyIAOJ1OrFmzRlZXHLPZjGhU3c3j1URKmmX0Fjd1y5EsqWmWUsliyhVBqWQRsfrkk0/o\nGvtqkclk4PP54PF4kM1m4XA4sHr1arS3t+PcuXNoaWmpi0WHkGgxeWjoRyX/5hIvLedWAUWBYEpE\nt1n9lvqhdBvnv9USLi7BYkOEC5AvXUoliw1bumopWWyIdPEJVy1KBsVgSlcjQlEUWlpa0N7eLtjE\nit3tLpFIIBQKIZ1Ol3W7Y6diclqPV4NCoSD4Gr2Qk61MJiN5hpbH48HFF19c9vk/+7M/wyOPPKL6\n71On09XFe2cj0BStRYzBYOCcU6UUZpe2UCiE1tZWOBwObN68WfKLBRutE62LvrdP1u3VTLOIYMlF\nimTlQhYYeqTdb0zJ4hIsQLpkAYA/0YFfX/tXZZ83Go2CXf7UIpVKwev1wuv1Ip/Pw+VyYd26dWVd\nOcW6DlYTtmjl83kEAgF4PB4AKFkEMVtLPzT0I9z0pflmIcsf/kjT8+QSiEim+JhRS7jYksX3f0ql\nS4pksZGTcqklWWxmkl0IptrQ3z6r6nGVSBYTrpSrViWDctm/+W9rfQqyoChKUtdBKd3uKIoqkbFk\nMolIJEL/W6j1OHkNqoaMSem0yCdbHeeB2DL+r6v3VEtOojU9PY0vfvGLAIDHH38cT3425DkajWJs\nbAwAEAgEcPjwYRiNRvT399NlgECx0crWrVvR39+PycnJks+TpMzlcmFmZgZ9fX2YmZnh3Cuo5LgL\nnaZoNSjkaoIaoiR2xUgIMiTZ5/MhGo2iu7sbTqcTq1evVqVLWy32aKkFX5rFJVhqlQzmQvIWTd2d\nCV65kguXXDExGAz0IEe1SSQS8Hq98Pl80Ol0cLlcogOsDQaDpBSpGuj1euRyOXi9XngK+aC0AAAg\nAElEQVQ8HsRiMdhsNrpMg1kmRPZskDk/f/PX1+A7D/waj/7w99HS8oewWCx4wPOA6ucoJhBqCJeQ\nZPHdVo5wKZEsJmLCpZVkMZmKd9IfVypdlUoWm0/jPYimWjHYFVT1uGqkWWwaTbIAddu7GwwGtLW1\nCY6FYbYeZ+8bE5o1xkzJKl0HkBbmYnDJVtJZlC1AWLjqFbmJFhGXPXv2YM+ePWW3ue222/D7v//7\n+NKXvoRQKIRvf/vb9D79F198Ed/97ndhtVrR2dmJ3/72t7j88svx4x//GPfccw8A4MYbb8T4+Dj2\n7t2L8fFx3HTTTWXfY9u2bbKPu9BpitYix2QyIZPJSL5qAhQXfaQFezqdht1ux8DAgCaNBOpJtOSk\nWWzJUppeseFKs7jkSkqapdMVJEmWWJolJlgEo9GIZFK9MrNYLEbLlclkgsvlwsUXXyz5sazX6zUT\nP6nkcjkEAgHMzMwgm82ir68PK1asQGdnJ3Q6HXK5HD2rhwsy52f8X5bRi6HZ2VnsyuxCJpNBPp/H\nv3b+a8XnKUcgiHAB8qRLjmRxfZ2YcFUqWUy4ygq1lqxgqvz+IdKldspVT2ghWY1KPp+v6pBkvV6P\n1tZWwZJvrWeNSRUtgF+2Wn386VY9p1rpdBrd3d2Sbuvz+dDb2yv52FarFd/5zncwOjoKAHjggQfo\nBhb79u2j27Bv376dblixd+9e7NixA08//TSWL1+O5557DgBw4sQJPPHEE3jqqacUHXeh02zv3sBk\ns9mKr8ifOnUKy5cvR2dnJ+9tyHwGst9Kr9fD6XTC6XTKHpKshDfeeANXXXWV6sfVsmyQiJYUwZKa\nZrEliy+9EpMsKlIUEWOP+P48PsmSKldMgsEg/H4/1q5dK/trgeLjcHZ2Fl6vF4FAABaLBb29vXA4\nHIrmyXm9XszNzWFoaEjR+Sgll8vB5/PRTTkcDgcKhQIsFguWLVtWdlsh0ZJCPp+nr0b/lVfe700t\neRASLqWCxQeXcKkpWXwY9dqlo1ySxYUc4VI7zQKAaKp8QV5putVMs+Y5fvw4vYBtJJizxrja25MS\nbqaMERFLJBJIp9NYtWqV5NfBsqHGvvmPuWSrXkXrgw8+wMDAAG+nSkKhUMA111yDt99+u7lvqro0\n27svdLTsPJjP50vmW5HZHZdcconi/VaNjBzJMiR1QFLafaSkZFCoPFBIsohgAcolS4lgEZTsiWLu\n+wsGg+jo6IDL5cLKlSsrLqGp5h6tbDZLy1U6naabcpAN7ZOTk7znUklpL1C8Kk1KhB7teRQAcO+H\n94p+nZoJDV9ZodqSxT6mtSVRFckCAG+8uBhytavXHl4uUssKqyVZAHAuaqM/litdzTRrYcAsL+S7\nqMs1aywSiSAcDiObzSIUCgHgnzVmsVjowc/sZIukWgB3slWvqZbUaiNSUtqUrPqkKVoNjBpPKovF\nQnceJGVMPp8Ps7Oz6OnpUXW/lVIMBoMqtemFQgFzc3Pw+Xz48gsvqnR2pbRN6ZG2qh/86nI62fuv\nCEzBAuRLViVyVfJ9jUZJQ7bz+TzC4TDdVIXMWVP7cai1aJGOh16vF5lMBk6nE8PDw5zdwqpdxvjo\n2qJwnTx5EuPt42X/r1UZHLOsMC+xI2YlhNJtCCbbYWuNa/p9gsn5+0tt4ZKaZrHhKyvUQrKkQqRL\ninBpJVmNmmap2biqHuGbNfbpp5/CYrHA5XLRs8aYqdjs7Cz9b/IaajQa8c9/cCVu/7ffcH4vsSYZ\n9YLUskmPxwOXq7E7ai5kmqK1yNHr9XSHtmw2C7vdTpcS1svVEbJPS4lokUW7z+dDKBRCe3u77Bck\nKWlW25T87ktS0yxdTtrvgZ1msQULkCdZagkW/b0FRCufzyMYDMLj8SAajaKnpwe9vb1Yu3atZp2t\ntBAtsn/R4/GAoig4nU6MjIyIlthKbe+uNjqdDt8f+j6MRiOdclWjoQMAhD4TCKtFmxlZTIgIaSFc\nTMliQoQLUC5dSiWLCTPlajdps9+VL83io5KUqxIaVbIAdRthNBLZbJYWL+asMaHBzxRFIZVK4fDX\nenHDk88DKE21gHLZuvQHT+GV23fQ7e3rYf0jtZrB4/HQjZOa1B+L71m7gFDyQsDeb0Umj2/cuLEq\n+62UQMobpZ4fRVEIBALwer0lydyaNWtUX7SzBUvNNKvFV3x6ZqziMsCULC7BAqRJFqC+YNHfn9Xe\nnSSoXq8XsVgMVqsVbrdbk6YqXKglWqlUiparQqEAl8uFDRs2yJoZxidaWt8PzO9LUi4A+ON3vqXp\n92WipXD5E6XpodrCxSdZbJSkXGpIFpt41qy6bMmVLDZc0tUsGSxnsYqWnM57QPE102g0oqOjAx0d\nHbyt34Fy2Zqeni6bNcY19Lkas8bI2kwKMzMzWLp0qWbn0qQyFt+zdgEhdRHGleo4nU5s2bIFFEXh\n/fffr1vJAqR1HiRlWj6fD6lUCna7HcuWLUNXV1fZ/SS3CQYXShIsJkJpFhEsQJ5k8QkWIE2y3r/p\nL0RvUwmkvfv09DTdCMJut5d02asmlbR3T6VS8Hg88Hq9ktvJC1HLRIurJOlfN30XgHbCFeAQFLWF\niy1ZTNQQLqmSxUSqcGkhWQAQjrehvVs90apUstgQ6dIiefzz7E04duwYTCZT2Uw65h6feiWXy9W0\nhL9WyOk6yIdU2WI3amLOGkulUpJnjTEfV0plLJ1OSxbM6enpRTOTqhGp31eVJhWRy+Xg9/vh8/kQ\ni8V4Ux2DwaDpQGA14BOtRCJBy1WhUIDD4eDdA6MUdtmgkGBJTbP4JIspWIA0yQKEBUsKWgsWkWCP\nx4N4PI5EIoGhoSF0dHTUtDxDr9fLSrSYs7r0er3sdvJi51JPokVQW7i4BItNKNVWsWwJSRYTpcKl\nRLKYCAmXVpJFmIwU20W7uyOafp9K+CQ4n3KttFVeWkhKBvkaLpCPSWkzV/e7WsvYYk201BAtoChb\nW/+cX7YAYOufP4VXvz/fFKOWs8bkjN3xeDyKu/k20Z7F96xdQLCHFpMSJp/PR++3EksL9Hp93W+y\nbWlpwdzcHN3MgrT3JrOT5CQJStOsShMsIdiCJQsJnsKXZmkpWKlUit77l8/n4XK5MDIygnfeeafq\n7dT5kFI6GI/HabkyGo1wuVzYvHmz6p0361W0CGoIlxTJIlSSbkmVLCZyhKtSyWLCFi4tJSscLz12\npcKldppFHzdR+lpOpEsN4eJruMCES8bC4TC9cBaSMfK3FkJEUdSiFC05JXRivPp9ftlSitxZY+Qx\nxTV8nvmYymQyoCgK8Xhc9DE1MzPTTLTqmMX3rF1gzM3NwePxwO/3w2g0wul0Yv369bL2h+h0OlVf\nzNQkn88jmUzSZVodHR1wOp0YHBzU/E3HFANMMWn3idI0i0+yJKVZCiVLK8FiJj5qlNNpDZ/cMAch\nm81muFwuzcca1GqPFnnuS0WpcMmRLCZyhUuJZDEREy41JYuJN74E4XgrHJ0xTY7PliwmRLgA6dKl\nlWQJoTTlktsAQ46MMbvfCckYOxVTImOLNdFS+zVQTLbYqZYakL1eFosFXV1dnLdhzxqLxWKgKAoT\nExNls8YoisL+/fvhdrsxMDCAmZkZdHR0VDwKpIk2LL5n7QKD7Llavny54nidXD2plwVxLpdDMBik\nm1ksWbIEJpMJo6OjVZPBznMFJB3avWBVlGIBMAcNyNiFZYwtWVoIFlNKSMIoVk5XL28G5BxIgxhy\nwYIMQr700ktVKVmRQq0SLaWJthzhUipZTKQIV6WSxYRLuLSSLCb+2eLPoKZwCUkWm1qXFbLTLD7U\nTLmUwJQxPoRkjGtIL9e+MaZYLUbRIknPYoA9a2xubg7d3d2w2eYvMJDHVCQSwSWXXILJyUm89tpr\nOH/+PP70T/8UkUjxeWuz2WA0GvHqq6/C7Xajo6MDN998Mx544AEAwJEjR3DfffeBoijs2rULe/fu\nBQCcO3cOY2NjCAaD2LJlC5555hmYzWak02nceuutOHnyJGw2Gw4cOIAVK1aU/Qxyj7tY0Ml8k63v\nGrNFSC6Xq7hz2nvvvYeBgQHeKy3VgDlzKJ1Ow263w+VyobOzExRF4eTJk7j88ssr+h5SywblSpbU\nNEuflXZMsTRLrmSpKVikfNPj8SAQCNBS4nA4JEnJ0aNHsWXLlpovGMjPceLECVgsFrS2ttI/Ry3O\nLZFI4KOPPsLmzZtLPk9KTrS6wHD69Gm43W7eK/dS4RMuNSSLC7ZwqSlZbEJzbbAu0bYFfTjOnRCp\nIVxyRIsNl3BpmWZJFS02fMJV7+3cmSkGs6yMKWOkpXk2m0VrayusViuvjC000uk0PvzwQ2zatEn1\nYwulWmonWkqQ+tpcKBRwzTXX4O2336ZLwUOhEJ5//nn86Ec/wqOPPoorrriCvj1FURgeHsZLL70E\nt9uN0dFR/OQnP8G6deuwY8cO3HzzzRgbG8Odd96JTZs2Yffu3di3bx/effddPPHEE9i/fz+ef/55\nHDhwoOQ8lBx3ASBpUbdwn6FNJEOGFldbtJilZgDgdDqxdu1atLeXLs60HixL6Dyn3XWEtmkdUg7x\n2wlJljlY3DArJlkAkAtbcHDLVixfvlzyOfJRKBQQiUTg9XoRDAbR3t6O3t5erFy5UvabPJmlVYvF\nQaFQwOzsLC2J7e3tMBgMuOyyy2q+WKn3PVpicCVcWkkWUJpwaSlZ9PfTULb4JAuoPOGqRLKA8oSr\nHiUL4C4rrHfJAkpTDD6IjJ09exatra2gKAqhUIiWMiJjzP097ISsUbsVqtUIgwuhEkItygflkk6n\nJTXDSCQSaG1tpZM/nU4Hm82GoaEhOJ3OEskCgGPHjmFoaAgrV64EAIyNjeHQoUMYGRnBK6+8gmef\nfRYAsHPnTjz44IPYvXs3Dh06hAcffBAAcMstt+Duu+8uq0xRctzFQlO0Ghw1YnUyp0pryEKXzPBq\naWmB0+kULTXTunSgEsGSkmZJlSw+iGDJ4aPb7sHp06d5BwSLQUYCeL1ehEIhdHV1weVyYfXq1RW9\naQsNLdYCtiQuWbIELpcLQ0NDMBgMeOONN2ouWQC/aBUKBU2b1aglWgQiXF/47UOqHVOIj/3FJ1ZP\ne1KT44fm2so+VlO4hCSLiRLhqlSymBDhWmLR5n2iEsliw5SuhQCRMYPBALvdjs7OzrLbsPf3pNNp\nURlj7xurRxnTUrQAbZpjqIXUn11ohtZvfvMbbNq0CUuXLsX3vvc9rF+/HlNTUxgYGKBv43a7cfTo\nUQSDQXR3d9Pvh263G1NTUwBQ8jVGoxFdXV0IBoOw2+30cZQcd7FQ+xVGk4pQS7RIba/aMBfs4XAY\nHR0dcLlcsptZVNqwg6tskE+w1Nqb1TYt7zhcaRZbssTSrI9uu4f+mJSbSCWfz9N74yKRCHp6euBy\nubB27VrVSteqkU4WCgX6MRcMBmlJHB4e5vw56mHPGFO02Mkb+RyZ10I2VbOHZyr5GbRK0o5ccb/m\nshWYm0/MwvFWzWSLjRbCJRX/bIck2VJTsph4A8VFvss+q8nx1eLY5/+81qegOkKVAOz9PVxwyRjp\nfCcmY+TvasuY1qIF8MtWrVMtqe9L09PT6OvrK/v8JZdcgk8//RQdHR04fPgwvvSlL+HMmTNanGoT\nEZqi1QQWi0XVRCuXyyEQCMDn82Fubo6e4VXJgp3M0lKrYYcaZYJ8aRZbsJSUDHKlWEKSxRQsgpT0\niKIo+P1+eL1exGIxWK1W9Pf3Y/369ZrIh1aJFjuB6+7uhsvlKpsbx4aIX61TLZ1Oh2w2i48++giB\nQAAdHR10eSbZEM4enhmPx+mr1tlsFoVCAUajsWxxRMSM62dUO9FicuSK+wFok24xJYtA0iG1hIuZ\nZgn9v1LhkppmsdGiYYZc1BQuNdOshUylr1NyZIy5V0xIxri6KaopY5lMpipNE+ot2ZJzUdnj8dCJ\n1uOPP44nn3wSAHD48GH68zfccAPuuusuBAIB9Pf348KFC/TXT05Oor+/HzabDZFIhBZ68nkA9Ne4\n3W7kcjlEo9GSJh3M28g57mKhKVoNTr2UDqbTaXrBTppZLF++XHCGl5JzVCJazDRLTLAqTbPkplhs\nlJYJcsGXaGWzWfp3lUwmJc1bUws1RSufzyMUCsHj8dAJXG9vryyhr6VosZOrVCqF7u5uuqyR3CaV\nStEz88SGZ+ZyOaRSKXqhFI1G4fP5kEqlSlpOk0VRPB6HyWTS9Iq12sLFJVlM1BAuMcli31aubCmV\nLCZ8wqVVmpWIlZd3VypcWkjWQkyzgOLrttaJkpw9Y1JkjEvE5LzOZLNZdHRovwcT4JatWqVacgRz\nZmaGLtnbs2cP9uzZA6AoYCQVO3bsGPL5PGw2G7q7u3HmzBmcO3cO/f392L9/P5599lnodDpce+21\nOHjwIMbGxjA+Po6bbroJAHDjjTdifHwcV155JQ4ePIjrrruubK0wOjoq+7iLhaZoNThqLIxJWiSX\neDxOD0gG+JtZqIHScwS0aXLBTrP4BEvS3qyCuGBxpVl8gkUwmUxIJIoLQGZXx0wmA4fDgaGhIXR0\ndFS1bK5S0SLljR6PB9FoFFarFUuXLlWcwFWr0QqBLVckuRoaGsLRo0fhcrlQKBSQz+fL/gZQcq6k\nnJC5CdpoNKKjo4N3ccIuH4pEIohGo5idnUU6nabTM75UTGmJIqBOOaGYZDFRWk4oR7LYXyNFuNSQ\nLCZM4aqmZDFplJLCRqZQKNTFPiopMpbP50ta25O5UFwDeoVkrBqlg0zqJdmS2ggDKAoVV0fmgwcP\n4p/+6Z9gNBrR2tqK/fv30+8Rjz32GLZt2waKonD77bdj/fr1AIBHHnkEY2NjuP/++7F582bccccd\nAIA77rgDX/3qVzE0NASr1Yr9+/cDKJYt7tq1C4cPH1Z03MVCs737AiCTyVRc/vPGG2/gqquuErwN\nVzMLl8sFh8Mh+UVBKRMTEzAajXC73bK/9uo9j0u+rdREiylaQimWVNESQolkAcUX4PPnz9NlZy6X\nC06nUxMRlsqFCxdQKBSwbNkyyV9DURQtV3Nzc7Barejt7UV3d3fFkvjuu+9i5cqVml415ZMru91e\nkly9/vrr2Lx5M4xGI53IkSQLQMkeLvIx83Pkb/Z9Qo5BPs9M+86dO4eOjg44HPMP1Hw+X7KPg/k3\nea0xGAyCJYpivxclwiVHsthIFS4lksUFn3CpLVlMjAbtulaKiRYbKcLVTLPkcfz4cYyOjtb6NFSD\njK5gt7Ynf+fzeaRSKXR0dKC9vb2iZEwuTNmqRaLl9/sRi8UwODgoetudO3fioYcewrp166pwZk1Y\nNNu7LxbU2GfB12yClGf5fD6EQiF0dnbC6XTKbmZRKS0tLUgm5V+d1kKyDJ+NqBIrE9RCssQEi9ky\nn6QhmzdvRmurdgs8ORiNRkm/R/beMbvdjmXLlqGrq0vVBE6v12uSaAklV0y5YiZWDocDp0+fpmVG\nr9fTM76YImOxWGAymcruB6Z0Mf8wvxcwn4qRhYzFYkEulyuRsdbWVsHHTC6XK1kUzc3Nwe/3I51O\n0+WqzJJEdgMPueWElUgWIK2cUC3JIseqdrOMeKgN7Vb1v6dcyQKaCVcTccjrm9B2gDfffBPDw8Og\nKKqkgQdTxpgJG9e+MSX7wpnJVi3KB+UmWkouQDepHk3RagJgfpZWW1sb3czC6/XSCYLa3efkYjab\nEY1Ga/K9uah0L1arp/h30iX9a/gkKxaL0XJlMpngcrlw8cUXI5/P4/Tp03UjWYBw6WAul6PlKpFI\nwG63Y3BwEEuWLNGsvFHN0kElckXQ6XQYGhoqOR5ZXJA/RGZI8wtgXma4/nBdCMnlcohEIvB4PJid\nnUV3dzd6enoAoOR8xEoU9Xo92tvbedPRQqGAbDZLy1gqleJsN/33bTfim4n/I3i/VipZTPjKCdWU\nLPYxiXBpmWalo8XFajxU/J5aCJcS+ISrmWbJQ8sRD/UMRVFob2+HTqfjnfPJTMaYF36kyBj5u1br\nGj7S6bSkuaaFQgGJRKLigfNNtKUpWgsANRahRqMRFy5cQCwWQyaTqWqDBCloPetLbpolhlCaJVey\n2IJVKBQwNzcHr9cLv98Pi8UCl8uFSy+9tKSePZfLyWrvXg3YYkMac3g8HqRSKTgcDqxatapqe8cq\nFS0uuerr65MsV0I/o8FgkCQzTBkLBoP0x8wFBgC6RKerqwu9vb0YGRnhLL3hKlFkJ2QAyu43domi\n2WyG2WzmXQSQBdKB9D1IpVLYee7JstuoKVkEtbsTihGaa4NOr91CmUgWE7XSLSVpFhdM4dJCsh7r\n/B28+eabnOWsLS0tkspZ65laDXmvB8R+b8xkTEzGmA08yL5ULhmzWCzY/83fx9jf/18A1U+1MpmM\npESLvCY38mN7MbA4n7kLDKVPMmYzi1QqhZ6eHoyMjAh2NasVcpthJBIJXP8X/1vVc+icyCPeW9mV\nL6WSxR68297ejt7eXsESzmo3epCC0WhEJpPB1NQUPB4P3ZhjeHi4at2lmCi5j9hytWTJElnJlVpv\nimQzudlsLmvXTB4vMzMzCIfDaG9vh81mg8FgQDqdxvT0NCYmJkr2WzHL+0i5oholiszzZd8HzAXS\nEVdpOaEWksWEpFtapFlM0hELLNbqSB2TStMttSSLiTfQicKcCa2uuKrHHR0dLStn5eu4ySVi9Tqw\nl7AYRUvNFE9KmSLZm8r886M7P4c/eeJXAIBjx47RMsYsT9QiGZNaOhiJRNDd3a3K92yiHYvrmbtA\nkbpwIwtEr9eLQCBAN7O4+OKL4ff7kcvl6lKyAPHhu4VCgS6h8/v9sjoViaVZnRPyNplzpVlEsKRy\n6ht3lQwQDoVC9ODd1atXS1oU1NNVLtL1cGpqCrFYDEuWLNGsQ6UcDAaDpIG95LkzMzODYDBYM7kS\nO8doNAqPx4NwOEw/XsRKfrUoURRKxcRKFP999Fu4/JVHVblPxJiZLJZNtnRpk5anI8WFXSpUTNHU\nFi6uNItNPZUTFuaKr8tJb/F5r4ZwkZJBk8kEk8kk2HGT3QmPq5yVT8ZqMbCXsBhFi6Koqpb06fV6\nzr2pr35/mP6YLWOpVIo3GePrpijlZ5LabXF6enrRzaRqRBbXM3cRwtfMYuXKlSUv3BaLBcFgsIZn\nKgzXQpUr5XG5XFixYkXxZ/vfRyv+vkzJkpJmSZEssTTrlZ3/Fe+99x49G6rW++OUkk6n4fV64fV6\n6a6Ha9euxZkzZ7By5cpanx6Aomjx7RljigtTroaHh+nfRb3IFZHxzs5OuFyuknMUQ80SRS4Ra2lp\n4bwvhGTsN1vvBgBc+epjSu4WSaTC85KSjrZoJlsl3zPUqppsSZEsJnKES4s0iws1hUsMZgLMB3tG\nFGlLzrXfp5KFtFwWo2hls9mqDCuWA5+MMWHKGHnczM7O0l1bSdMxZiLGfgwB0i6UzszMoK+vT7Wf\nr4k2LK5n7gKF/YRkNrOIxWKSmllovQdKLSiKQjgchtfrLblqz0555HQb5EJuisWF3BQLAJ64chM9\nvV3pbCg21azhTqVStFwVCgW4XC5s2LCBfmOiKEq1gcVqYDAYSkpSG0WuSDJNzpE8B7RY5AmVKBKY\nLeFTqRSSySTC4TC90ABQVqLITsW47ruTv/fn2PLi91X/mZiSRUhHiwsctYSLpFll31ujdEsqYvu3\ntJIskmZxkfS2K5IttRtgSJ0RxbeQTqfTdDLLV6KoZBYdRVF1XdqoBdWeoaUWlcpYOp1GPB7HiRMn\nOEUsFovRI3U8Hk8z0WoAmqK1ANDpdEin0/R+K9LMQk7HNtJ1sB4h4phOp/HGG2/AbrfTm/krXVhy\nlQ1ySZbcNItPsvjSrJ/e+Hm4XC7Vm4+Qkkstrwwmk0larnQ6HVwuFzZu3MhZD6/X6yWV6lULvV5f\n0omvnuWKNEAh+8JcLheGhobqIumUsrjI5XL0QiKZTNIz+ZgliswBpmSf2H9csxu/8+t/Uu1cuSSL\niRrpFp9klZxHBemW3DSLTT2VExKqmW5VgpTHOkVRJQvpRCKBUCiEdDrNOYuOLWPsvZGLNdFqRNGS\ngtBjKJVK4eOPP8aGDRvK5otFo1F873vfw1tvvYVcLodCoQC73Y7z58/D7XZjYGAAbrcbk5OT+Lu/\n+zvkcjnY7Xa89tprAIAjR47gvvvuA0VR2LVrF/bu3QugOE9xbGwMwWAQW7ZswTPPPAOz2Yx0Oo1b\nb70VJ0+ehM1mw4EDB7BixYqyc5Z73MVGc2DxAuH48eN0WaCSfVaFQgG/+c1vRIcWV4tMJkO3+k6l\nUrDb7ZidncXw8DDvVXUmUhMtpmgJpVhSRUssxeISrXf/+27NFutvvfUW1qxZo/reOzKvy+v1wmAw\nwOVyweVySdrAK2U4ttaQ5OrcuXMIh8O0vNvt9hK54tpXVE25isVitACS0ljS1GKhwVWiyPyTz+ex\nO/IfFX8fMdFiolS4pIgWEznCValkcUGEqxZpFh9iwvXCujEsXbpU6SnVHHbzDubf5MKD0WiExWJB\nJpOhR3cslE6KYszMzCCbzcoabr8QIHuB16xZI3rb++67D9u2bUNfXx8uXLiAyclJnD17Fvv378fV\nV1+NI0eOwOfzwel0gqIoDA8P46WXXoLb7cbo6Ch+8pOfYN26ddixYwduvvlmjI2N4c4778SmTZuw\ne/du7Nu3D++++y6eeOIJ7N+/H88//zwOHDhQcg5KjruAaA4sXkyQuUlKqYcXbFJ25vP5QFFUWTe6\nDz/8UFK78lpIlo5SJlmnvnGX6LErQayJiBzi8Tg8Hg89r6u3txeXXHJJw1yh4ioL7OzsREtLC9at\nW0ffptbJFbmfA4EA2tra4HK5sHLlygUpV0yklCiezF9WUSmhHMkClKVbciULUHfvlhLioTbozNp0\nKFUiWYB4wtXozwej0Qij0Si4N5LI2Pnz56HX6zk7KbIHg7Pb2jcqCznREiKdTssvU5oAACAASURB\nVEt+T/V6vbjsssswODhIf27fvn1wuVx46KFi91an0wmg2DVxaGiI3h89NjaGQ4cOYWRkBK+88gqe\nffZZAMDOnTvx4IMPYvfu3Th06BAefPBBAMAtt9yCu+++u2wrgpLjLjYa91nYRHVIY4BqvjjH43Fa\nrvR6fdmeHiZa7CNTYy+WFNiSpbVgEYQGBEuBJCp+vx9msxm9vb1l87rqGbE9V9FoFBcuXKipXAEo\n6ZjZ2toKl8uFwcHBhl9Mqo1er8dbX/gGCoUCLvn5/5T1tXIliyBn75YSySJI2bulRZpF0PmKP2fB\nWV97dbmE68CqL9dFyayW6HQ6upOi2WyG1WqF1WotuQ17MHg6nUY4HKb/zddJkflxvb7GZLPZmnel\nrQVSW7sDRdFiN8P4+OOPkc1msXXrVszNzeG+++7DrbfeiqmpKQwMDNC3c7vdOHr0KILBILq7u+l1\nn9vtxtTUFACUfI3RaERXVxeCwSDsdjt9HCXHXWw0RWuBoMaCkIiMlqJFNvL7fD74/X66xbyUZETK\nLC05TTCkSJaUNKvzUwpzbulvVtWSLEB+osUsVyPDkNWWK51OR3de0gI5DS30ej38fj/eeecdujFD\na2uraJMGNSAXGZjPg0svvbShr0JrDVNIx5f+HnZOvyjp65RKFhOxdKsSyWLCl25pKVn6yPxjTudr\nUU22lKZZXBDhOvXf/hRnz56tW0HQAr4LoMwUmG8wuJxOinxt7WshtYs10cpkMpK2R5DEky1luVwO\nJ0+exMsvv4xkMokrr7wSV1xxhVan20QCzXf0BYJaopVKpVS/ilQoFOhOgaFQCB0dHfQVezmLSrPZ\njFgspso5meKVbzfs/LRYaiMmWcw0q5qSBUhLtEijBXa5mtzfj9xzUrPkkMjVzMwMQqGQ5IYWFosF\nV111Fb0ASSaTdLt09qBTtoQpGVJJ9rb5fD46IdyyZUtTrgRIJpN0yWpLSwt6e3uxYsUKGAwGvLVx\nIzYf+Z7g16shWYRqtoEHateZsF7TLUI+n2+KlkTqtZOiGItVtKQmWmTOmE6nw+OPP44nn3wSALBj\nxw5s27aNHtnxuc99Du+88w7cbjcuXLhAf/3k5CT6+/ths9kQiUToxxj5PAD09/fjwoULcLvdyOVy\niEajsNlsJedBbiPnuIuN5rt7ExqLxaJaaV4+n0cgEIDP56Onl7tcLqxZs0bx1bGWlhbRREsKPR8k\nEFvO3zFKCkSypFJtwSKYTCbO3ylz/lIgEKDld9WqVZovYNQSLTJHzePx0HLV19dX8hiTsudKr9eL\n7pUgV4TJH7IISaVS9CKE3bKcSFk2m6U7gpIN7ZdccsmiXERIhTmDjTRb4bvP3vrCNwCAU7jUlCz6\n3DhKCdVKs9gQ4dIZtOtDxUyz2FQiXGqmWYRT/+1PAVR/mG2t0bqkX2knRTLCgdlJkU/G2J0UxSAN\nQBYbmUxG0nujz+eDw1Fsdbxnzx7s2bMHAHD69GncfffdyOVyyGQyOHr0KL7+9a/TMyzPnTuH/v5+\n7N+/H88++yx0Oh2uvfZaHDx4EGNjYxgfH8dNN90EALjxxhsxPj6OK6+8EgcPHsR1111X9jscHR2V\nfdzFRlO0Fghqlg4qJZfL0Z0C4/E4bDabqvOgxEoHxcoGez6Q18qYr2yQKVlSSgZrJVlAUbTi8eLe\nBi4x6e3txdDQUFWvDhuNRlCUso337J+hs7MTvb29suVKDswrwl1dXZy3oSiqRMRCoRCi0Sh935tM\nJrpdeSqVossyyZ/FtGjkI5vN0nKVz+fR29uLjRs3St6v8NYXviGabqkJSbe0kiyCKVR8m8451Glq\nw0RIspioWU6oBottrlQul6v5z2swGNDW1ibYwZY072CWKJLRLOS922g08soYs1R7saWWBKmiNTMz\nw9l1c2RkBF/4whewceNG6PV67Nq1Cxs2bAAAPPbYY9i2bRsoisLtt9+O9evXAwAeeeQRjI2N4f77\n78fmzZtxxx13AADuuOMOfPWrX8XQ0BCsViv2798PAJiensauXbtw+PBhGI1G2cddbDTbuy8QyFX3\nSggGg/D5fBgZGZH8NZlMBj6fD16vl57f5XK5JM/vkkM+n8fRo0dx5ZVXcv6/kGgxJUtqmsUlWuwk\nS0y0jv1D7SQLAEKhECYmJmCxWBAKhdDV1YXe3l7YbLaaLe4/+OAD9PX1oaenR9Lt+eSK+TPUuhU7\nUNo1kzR2cTqdMJvN9Kb1ZDJZ1rac7JPgSsXIH7lXgxsFcnHG4/Egm83C6XTC5XIJXlmXwuYj39Mk\nzSqjoP3vhIgWoL5sSRUtJlKES8s0CwDeffddDA8Pc87qW4gcP34co6OjtT6NimF2UuRqa8/spDg3\nNwe3272gOilKQerv+t/+7d/w/vvv42//9m+rcFZNeGi2d28iD6mlg2RArc/nQ6FQgNPpxNq1azXv\nEKTX6yHzwgAA+UkWUC5ZXKWC9SpZ+Xwe4XCYbgYBAMuWLcPatWvrIjmRum+s2smVEpglbnq9Hk6n\nE5s2bSq7IsnctC6UipEFRyqVwtzcHPx+f8lcHdLKmb1frJ67h7GhKArBYBAejweJRIIe46Dm68db\nX/gGRn7ymGrH48MUMiJrVd7VU8rxmRj9JtVkS4lkAeLplhaSxWaxJVoLBWYnRTK2hQ25aPzWW29h\nyZIlop0UudKxRn1skMYkUvB4PIt2z1Oj0RStBQJZXCoREQJf6SCZ7UPkymg0wuVyYePGjTW5osie\n4wBwp1lcgqVkb5bc/VhA9SUrn88jGAzC6/UiEonAarWit7cXg4ODOH36dEk71lrDJ1pMuQoGg3T6\nVo9yRVJcAPRzQWqJGx9ipTlcA30DgUDJQF+dTseZiLW2ttY0Fcvn8wiFQvB4PJibm4Pdbsfg4CA6\nOjo0O6fTf3S3prJlChaFQivZYksWwegvfl8tSgmlUu1mGU+v3oy33nqLfjynUilEo1H6YkOjLqyb\nlKPT6ejGG2QPEhsiY8xELBaL0f9md1LkkrF6uOjIRmrZIFAs37vmmms0PqMmatAUrSY0zAUws1lC\nMBikZ/vUeoYSOUexc1CSYhGYaRafZAmlWdWSLNJwxOv10t2Ali5dWrInjqIo1QYWq4XBYKD3aDVK\ncsUskc3n8/S8t2peaJAy0Defz5eIWDweRzAYpDesA6WpGPuPmgtW5u82Eomgp6cHbrcbXV1dVfu9\naSVbRLLof2ucbHFRSbqlNM1iw063tEqzRkdH6YsMpNSWpPbpdJpOObgW1aQrXj0urKXAfM1bLIgJ\nB/N3LfRayG5rz9dJka+tfbUvTMkRLa/Xy7lHq0n90RStBUSliVY+n0cul8P777+PcDiMzs5OuFyu\nqjdLEII0xBASrUoki4mSJOvXD2m72ZOiKFqu5ubmYLPZ4Ha7sWHDBs43Bb1eX3dv1AaDAbOzszh9\n+nRDyZXT6cT69evrel+IXq8XTcVyuRzdyj6VStEiJpaKSWnjTObkEXHu6uqCy+XC2rVra5amaZ1s\nEUgCpYZw8aVZbJSkW2pJFoGkW/lWbV5n3vmjr6FQKNAXGQBgYmICq1evLrkdc2FNFtPRaJRuzqB2\nV7xqQVHUgt+XxEaN1u7MPa98kAtTzPEekUhEs06KYsgZVjwzMwO3263a926iHYvr2bvAUfKEZy7c\nZ2dnkc/nYbfbMTIyUpdXAEl5I3M/B7NsUEiypJYNigkWV5p17B/uwjvvvINsNltxCRmbXC6HQCAA\nj8eDeDwOu92O5cuXo7OzU/R3Xi8LB2a64fV6YTKZMDw8XCZXRKxqJVekFbvX60Uul4PT6cS6desq\nbs5QLzD3SPANOCUzdciCNZFIlKViRqOxRMAAYHZ2FtFoFB0dHejt7cXq1avr5jXk9B/dDQCqCBc7\nzSr7/wrTLamSxUTNvVtKaZ0yINmvrJuoECT9Jn9nMhlQFIVcLke/LpByM7GFNekOyu6Kx94HyZWK\n1aoRg9at3euRas3QErswBfA/ZtLpNLLZLAqFguROimLISbSCwSBvaWWT+mJxPXubACi+iJE27Mlk\nEjabDcuWLUNXVxdOnTqFtra2ulkgseFq8a5WggUAhrT8RJCUCoq1n5cDsxtbMpmE3W7HypUrNenm\nqBV8e65sNhvC/z97bx7fRn3n/78syfJt67A1Gsmxc5OEhCsJFEK5Cm2htCkUknAlNCd8y27766+0\ndGn3R/vbluPb325h6Zb9lcVJQ0IIlGPZ0lDuLYSjhKuBAIHYcSzNSLIk27rP+f6R/Qyj8UgaSaPT\n83w89LDj2PJIHo0+r8/79X69/X709fXVjLgir4dEIoG+vj4sWrQo55tvI5Nvpg6pik1MTMDlcoFh\nGN7WqNVqEQqFcOTIETgcDsmqWDUsOYRSq1v5RBb/fTVqJVS6miWmzXF8E0opwfXh+uPXVvIaZVkW\nyWQSAwMDAD7fnAEgOTKCXEfI+abVavlBrlIIK75kYZ0tiEFqUV2O3h9VaFWXfOcMgGnnjNCimEvA\nC8UYcLyilc0KKYSc97XiNFLJzcx69TY4uRYvJB3N7XbzMcrz58+f1oxOKkbZdrurjTCwg+M4BAIB\nxe6758MJBOdJJ8IRxNUsYT9Wc3NzSf1QwsVENBpFX1+f5N+oUJqamvj48HIjp+fK7/cjHo8jmUxm\nWF0rKa6EM99isRgsFoviyXeNCImwd7lc0Ol0/N9WvCgSV8UikQg/3JS8fsVVMeGtnAvLYsWWXJHF\nf38RYquYapaQagVltPgyX7dKVbc++OADhMNhxGIxmM1mLFiwQPK9iWzSCMc8kGuLcANHLMaE1xzy\nMV/FVzjAXLiwJhZFcq3NVhXLZ78VMxOFVjwer6uNLp1Oh87OzpxJiolEIiO8Q0rAx+NxhEIhBAKB\nnEmK0Wi04PNIpXrMrFdvgyN+0YXDYV5cNTU18TaoXBewUocWl5vm5mb4/X589NFH8Hq9uP0n+2X9\nXD7boByRJUYcelFMRUs8h4ws+LNdsIuhubkZyWRStiWhUMSVK4PBAIqistoCydDeN954AwD43WFx\nSp7Su8PEgulyuXghu2DBAlVc5UF4jnIcB4qicMopp+Q8n/JVxQDwCw/SK0aEGFl4AMevR8IYe6Wq\nYvXYt1UIUtWtclezxJRa3fr/556EaDSKzs5OPub70KFD04SM3D5CoRiTEmYEoRgjgQliiyIJS8gG\nGdVAFtKhUAg+n48f3Cu2m0nNiiK/sxaGFVeaWqpoKYEwyCiXgH/33XdB0zS/UUWSFGOxGJ577jk8\n8sgj6Ovrg9lsRjwex65duzBr1izMmjULdrsdd999N3bt2gXg+Hlz6NAheDwemEwm7Nu3D9/97neR\nSqWwefNm3HLLLQCA4eFhrFu3Dl6vF8uXL8fOnTuh1+sRi8Wwfv16HDhwAGazGQ8//DBmz5497bgL\nvd+ZiDqwuIEQRiiPj49Dr9fDYrHAYrHI7hsifUDz5s0r89HKhyRMuVwujI+PAwAWLVoEs9mM1Rf+\ns6z7yCW0ej6cOP49BVSzpJIFGYZBJBLB3Llzc95PPB6Hy+UCy7JIpVL8kNZyLfjfffddxQUFEVcM\nw8Dn88FgMMBqtcJkMmWIKwA5bYG5BvlGo1F+oSOeG0X+nW+nl/QgEgtmX18fKIpSVMg2IslkkhdX\npAJutVorGgQiDDcQnx9kM0ir1UqK9EKqYnIEV6HVLCnyia1Sq1nZSPYlyiqyxNUsKYoRW3+7ZltW\ngSFO1xTesvURyqmYSokx4dfIR7GQE1sU5WwQie1mUoN79Xo9LywpimqIWVFy+PDDDzEwMDDjrtN/\n/etfsWLFiqybSPF4HMeOHcNzzz2H5557DhdeeCGOHTuGY8eOweFwIJFIQK/XY+/evXjvvffwL//y\nL3jhhReQSqWwcOFCPPvss+jv78fKlSvx0EMPYcmSJVizZg0uv/xyrFu3DjfccANOPvlk3Hjjjfi3\nf/s3vP/++7jvvvuwZ88ePP7443j44YczjqeY+20w1IHFM41UKoUjR47AYrFgzpw5RdkNWlpa4PP5\nynB0hSGeC2U0GkFRFAYHB/Hxxx/DYrEo8nuIyCqEbPHter0ek5OTkv8nHGybSqVAURROPPHEitgj\nSEWrVDiO4yOVheJKOAi50J4ruYN8hRY0MnZAuCARVj70ej0/Z4dUrubOnVvWmU2NgFiUVttOKQw3\nMBgMkt9DFqvkRs6NSCSSURXL1ium0WjyVreUEFlAbithuUQWcLy6lW6u7h5poVZC0puVjULSNcmN\nWLXknhtSFZVcFkWhOJOyKJKP5HO5drPR0VE+/CPbrCipqlg1eyFLpdEqWoWQ62+m1+sxb948vPPO\nO1i1ahV+8IMfTPueeDwOrVaLW265BVdddRUA4M0338T8+fP5TeB169bhySefxOLFi/HCCy9g9+7d\nAIANGzbgtttuw4033ognn3wSt912GwDgiiuuwE033TRtk6GY+52JqEKrgWhubsbJJ59c0n1U0zoo\nji43mUySc6EKtedlq2YJRZZc22CuGVniHi1hPwuxXC1durTiCXY6na7o3rFyiKtCkdPAHg6H4Xa7\n4Xa7EYlE+B3fpqYmjI+PY2JiQrLqMdOHnUoNEq4nUSpnsSqsGAgFeDQaBXD8/Nq79FysOfhy2Y+3\nGlbC1nEAaEKYVl5syalmEZQOysiFnHRNcm4Izw8SYiCsphPxQuzMpVgUs/WLSVkUgeMLa51Oh+7u\nbsnNRWIxyxdPLhXAUGgiXiWZiUKrkDEsuaLd9Xo9wuEw9u3bh3vvPb6B5HA4MGvWLP57+vv78cYb\nb/BWf7Ip39/fD4fDMe1ndDodenp64PV60dvby99PMfc7E1GFVoNR6iwt0j9TKYQWpXA4nDe6XKvV\n8hekS8//30X/XiUrWQS9Xo9IJILh4WG+L85qteKkk06q6uylQkM6akFcyUFY9SQzxRYtWiSZzEiG\nnZKbz+fj7WjZZkcRMVar83WKRfj3nZychMlkwqxZs2SNC6g3hH/XbJDKx19oGl98dk/G/ylVzRIj\nrG6Vs5olpJ0pj9gqlHzVrXzVLKUQnhu5qulCISY1ADyXRTGbWJDbLxYOhzExMYGOjg4kEglJi2K+\nXshkMpkRwhAIBCQj7bOJsWpsRBHhOZMgtj85MAyD5cuXZ/3/p556CqtWrYLJZFLq8FRKQBVaDUap\nQksoZMqFOABCqXQ9KaSqWWKRJaea9fxDf5f1/8LhMD8fKhQKgaZpnHLKKYrP0yoWnU6X1zpYT+LK\n5/Pxc9/kigQ5s6OEQowsqCKRCL8YqVRoRzmQGiRstVqxePHihhNXhSKsiglthOUSWYRKCKzj1azP\naWeO/62VEFyFVLPEVLK6VQparbYoi6JUqItci2IqleLHJqTTaVAUBaPRmNHXWqhFUafT5XQESCXi\nkc9JIh6xI4qtiuW4/pWyhqlXChlWzLIs7HY7AOA3v/kNfve73wEAnn76adhsNuzZs4e3DQKA3W7H\nsWPH+H+PjY3BbrfDbDZjYmKCT7YkXxf+TH9/P5LJJCYnJ2E2mzOOo5j7nYmoQqvBUGLRRMSakguw\naDTKiysSALFo0aKi+j80Go3kzBQ5FFPJkhJZoVAILMvC7XajubkZVqsVy5cvx1tvvZVRSq8Fmpub\nEYlEpn29nsQVOU4irux2O5YsWaLYMcjp+RCHdgQCAVmhHbl2tstNIBCAy+WCx+NBV1cXKIqqqUHC\ntcihq25CLBbDyt9tL/vvanMBEarsv2YatVrdqlQ1SykKsSgS4UL6TMnXyLVDo9EgkUggHo/DaDSi\nv78fRqMxa0U9W79YsRbFXIl4JJhGymYZi8Uyrn9SVbFCXAGVGkVSa8RisYIqWsQ6+J3vfAff+c53\n+P+bnJzEyy+/jAcffJD/2sqVK3H48GEMDw/Dbrdjz5492L17N5qamnD++efj0Ucfxbp167Bjxw6s\nXr0aAPCNb3wDO3bswJlnnolHH30UF1xwwbS/YTH3OxNRhZbKNEhMeakVGdI343K5+Hh5JXqUWlpa\nZKcNCilVZAWDQV5ctbS0wGq1YsWKFTXvJRdWtOpJXJHI+MnJSRiNRthsNkXFVSEoGdoh1SemZOM6\nqbC63W60tbXBarVizpw5M7oXTQ7ExkzSQP/rGxfj0v/8U9l+X5vr84/lEFviapaYUsRWKdUsMfVS\n3SqWXPbVaDQKhmHAsiz0ej16e3vR3NyMWCwGr9cLh8PBWxSFA29LSVHMF2lPjllsUSzEZhmLxXhX\nAIm0Bz63WUoFeJDHMBP7swDIXnOR+aHZBhs//vjj+PKXv5yxia3T6XDvvffiK1/5ClKpFDZu3IgT\nTzwRAHDnnXdi3bp1+MlPfoJTTz0VmzZtAgBs2rQJ1113HebPnw+TyYQ9e47bqp1OJzZv3oynn366\nqPudiajx7g0GSScqhb/97W98n1ShBINBfnZXc3MzKIoqKF5eDh988AF+dNPT+Y/lf2yDuQRWLtvg\nc7tvyqgItLW18Y8n2xvb/v37ceaZZ9aUHcvv9+PIkSNoa2srKYq93BARSJImyTwuoW2mnpEKZiAV\nsmxDfOWGdkgNEs51nqoch/T5MQyDcDjMx9gLK5sn3fvvZfndRGgRlBZb+YQWoRixpaTQEnLgx9vK\ncr+1RCqVgtvt5q2BNE2Doqicr1Upi6LwJjdhU4p0Op01RTHb+lDKopivCkUeg1ScfSwW49ctWq0W\n8XgcNE1Pq441cqXryJEj6O7uzgibkCKdTuPcc8/Fu+++W6EjU8mBGu8+E1FiQVpI8iDZXSFipLW1\nFRRFYfny5WUbTlfI/RZTxQKAf7vty9i/fz86Ojr4ioCcRSsJnqj2YD5h5Wp8fBwcx2FwcLDmKldk\nHpfL5YLf7+d7h4TDjhsFOcEMhYR2NDc38xYejUbD9wZW+9yrdYQDticmJmAymTB79mzJEBUAeP+m\nbYqLLbHIEn5NCcElV2QBhfdtqSKrcDiOw+TkJJxOJyYnJ3nrvNzxHoVaFMUJm2J7X7bgjnJbFMlj\nyJUS6na7MT4+jvb2dkSjUQSDQf4xCIdVS1XFsiVB1gPxeFzWtXtqaqqoTXCV6qEKLZVptLa25kwe\nJG8aZIBwR0cHKIoqenZXofxfW5+Q9X35RFa2atY/33IODAYD5s+fX7DdqppCi+M4PiiCVK5omsac\nOXPwwQcfoLe3t2bEFTl/fD4furu7YbVasXDhwoYTV4WSbzEVi8XAMAw/SLi9vZ1PJHM4HHA4HHyC\nmFSv2Ex+foPBIBiGwfj4OH/OLVq0SNZ5r6TYkhJZ4v+fyX1bjUQkEgHDMHC73ejs7ITNZitbAI2c\njRyhvVmcQCi0KAoFjDDWXimLIvkaEWPiqlhnZ2fWWZkk0p48jnA4DJ/Px1sUhZH2Uj1jtRppLzcM\ng2EY2Gy2ChyRilKoQqvBUKqiFQgEMr4mXsSThUoxYqQSaEPFzQL784P/q6THQ/rbKjXkVfx3MRqN\n03quyOyxeDyecX5UWlwJU++6u7vVYAaZCAcJkwHMy5Ytk9wNJ6EdQmtiPYR2lItoNMongra2tsJq\ntWLu3LlFvcbLUdnKRiliq5Bqlph8YkutZuWHWAOdTicAgKZprFixoiZsvHJmEootij6fr6QURQKx\nKIo/F4qzUCgEt9sNo9HIx9kD0y2KciLthdZE4Xw0YlHU6/WSwR1kBmOlicfjsq6/TqcTNE1X4IhU\nlKL6r3wVRVFKaHk8now5RRMTEzAajaAoKmMRX5O8/h6wbFHBP5Yrwl0uhc6sKgYirliWhd/vlxRX\n4spVV1cXDhw4gFQqlWEfIYtt8lHJ3T5iK2VZFl6vV029KwDy2mNZFqFQCL29vZg3b15Wyw1BGNqR\nzV5SaGiH8PxQMrSjXCQSCbhcLrAsi6amJlAUhdNOO00REVmq2MpXzRJ/b6FiqxSRRcgmtsolshoB\nYkd1Op2YmpqCxWLBkiVLKj6cvlQqZVEUCplUKgWPxwOHwwGO4/j+UpJ+XIxFUc4gc7IhRR4LCe4Q\n2rTFQkxoUSzHe5ic+2RZVq1o1RlqGEYDQsrnxZBKpeB0OvHpp5+iubkZZrO5pgIJ8g4pfv09AIA2\nj9AS2waVEFkAcPToUWi12qxT24slm7gyGo0FB1oIZ0YJ48ojkci0hbaw6tHW1pbXA89xHJ/OOD4+\njs7OTlAUBbPZXJOVz1pCapCw1Wqt+CBhqYUUOT+yhXYIz5Vq/J1J1Y9hGMRiMVAUBavVmtNGVQrF\niq1ChBahELGlhNASIhRcajVrOkJrYFdXF2w2GwwGQ028V1YT4WaO+EY2Ipuamni3RU9PDywWCwwG\nQ85riFyLIiGfRTEXxKIoDOwgH4mg1Gq1WatihUbaHzhwACtXrsz7vb/61a+waNGijDlZKlVDDcOY\nqRQ6tDiZTMLj8YBlWYTDYZjNZuh0Oqxataq+3jBkiiwxSoksAHw0rxJkE1eLFy8uKdBCzswo8qYS\niUQQiUTg9/sRiUQkffytra189WpiYoLv2SvWojWTIP1q5G9MEiGrOUhYbmgHmQlEhrQyDMPbi4T3\nIRZjhSxAciF8fUxNTWUMPi83xVS2ihFZ5OfkiC2lRRbweXWrnNWsTz/9VHZceS0gHCgM1JY1sFbI\nZlFMJBJgWRZOpxN6vR5msxmtra2IxWJ8r5XwGqLX6zN6xJSyKMoZ9CzHokgEJXm/FPa8EUEpjuUX\nCjNhpH0hM7QuuOACWd+rUhuoV4YZSjwe52dcxePxjEVKU1MTfD5fXYosOQirWUqKLOD4RVXc31YI\n5RJXhSBcJBsMBsljTCaTfG+Yw+GARqNBc3MzNBoNwuEwRkdH4Xa7JSseM31BIq76dXV11V0YSL70\nMLIbTIQYmamTrele3C+W7XkQ9/oZDAbFh1fLpRCxVazIEv58NQIygONiK6XcdI4MXrrpar7S4ff7\nM3qBhNYtqV6gSld5G8EaWA3Ie5rT6UQ4HIbVasWpp56aV1iQIclKWRSFTmAYHAAAIABJREFU90uO\nS1wNK9SiWGjPWywWg9/v54UZOc/JsOqRkZFpYkx8LWRZVnHHjEp5mdkrngYl2xtQLBbjZ+2kUik+\nYjbbRaLWJrRntQ0WILKEKC2ygOMNtoX2aKXTad4yJhRXwsVjLaQFAseblcVR/kuWLJkmnlKpVIYt\nkcRpixdRYmtirpjheicUCoFlWX4mWynBDLVOvt1gcWhHNBqFx+ORDO0gVqJQKIRAIIDOzk7QNF0T\nvX6VDsgApAVXOapZhA72+CJ0alD512RXV1fWXiBxuhyprAvnzmm1WslQF6U2dCKRCJxOJzweD28N\nrNbQ9HqDPHdutxs9PT0YGBgoyAYtfP1nQ2xRDAQC/HVEWFHKJsYqkaIop+eNvPe3tbUhFovx4R2x\nWAzBYBA//vGPQVEUbDYbjh07hjfffBM+nw+zZs2CxWJBIBDAtddei9HRUSSTSfzgBz/At7/9bQDA\njh078E//9E8AgJ/85CfYsGEDAODAgQO4/vrrEYlEcMkll+Duu+/mN9nXrl2LkZERzJ49G3v37oXR\naJx23IXe70xG7dFqQIRDiyORCC+uAICiKFAUlXcn7sCBAzjxxBPL1uNQDJJCSySy5NgGg/N6yiKy\nACAcDuPjjz/GqaeemvP7sokrk8mUIa7I91ZTXIXDYX4IdUtLCyiKQl9fX0kLGXHFQ9gvRt4g9Xq9\nZJ9YPQQyEEjqHRngbbVaS37uZgrhcJhfqAFAe3s7tFptxnDTWgntyCW2Sq1mSSEWW5UQWoCyYkuJ\n3iyxhVXOEF9yjmQLNJCyBlIU1ZAbIkqTTqf5xMV0Og2bzVbV505qQ4ecL7FYLG/lNFfohViMiYc9\nS5HNouhwOAAAdrtd8udCoRBGRkYwPDyMX/ziF1i7di2OHTuGY8eO8cOvdTod7rnnHqxatQonnHAC\nWJZFMBjEihUr8NZbb6GpqQnLly/HgQMHYDQacfrpp+Oee+7BGWecgUsuuQR///d/j4svvhg//OEP\nYTKZcMstt+COO+6A3+/HnXfemXE8Pp+v4PttUNQerZlKPB7H8PAw3G43dDodKIrCKaecImtGA6Gl\npQXRaLQmhFYymeQXWxnUUCWLQOLdpainyhURVx6PB83NzYomtwHyKh5C2whJx8sWyCDe1a7moige\nj/ObGyT1Th0kLA/yWmdZFqlUChRFYcWKFZLPXbb0M+E5kq3i0dbWpug58v5Nx0VDNeLfKyWyAKD7\naPmqW8UgZwCunHOEvM+RPlSz2YyFCxdmrUKoZBIIBOBwOOD3+9Hb24sTTjihYiNOciEnhVXKojgx\nMSFpUZTqFyvVohgKheDxeEDTNB9pL7YodnR04MQTT8SiRYtw11134ac//WnG77r99tvx2Wef4dxz\nz+WHsOt0OjzzzDO46KKLYDKZAAAXXXQR9u3bh/POOw9TU1P4whe+AABYv349nnjiCVx88cV48skn\n8dJLLwEANmzYgPPOO2+a0CrmfmcyqtBqQNLpNFpbW7F8+fKiF3ekQbVaJBIJfsEVi8WmDy8sUmQ9\n+eZPFDi67Gi12gxvt1hckSS5WhRXpPopFOinnnpqVWYrkV3GlpYW9PRID5YWz4siPUAknlfs3xcu\nuJV+TOR8JbZciqKwbNmygjY3Ziokyp5hGITDYd7SnC2shSAntIP0RwhDO7L1AYkFWb6ETSnEVsJy\nVLPE981VYU+h+yhXktiqVNJgvnMkEolgbGyM7ycliYGxWAwff/xx1sqpsFes2vbVakGCLRiGQUtL\nC2w2W131mRKqYVFMp9N8pH06nQZN0+jt7c2ItJeyKO7fv1/y+G666SZ84xvfwJIlSxAIBPDwww/z\nlbJZs2bx39ff388Pthf2eZGvA4DL5eLndFmtVt4NJaSY+53JqEKrAWlvb89agpZLS0tLxYUWCehg\nWRaJRAIWiwUnnHACOjs7M22DWURWPttguUUW8HniI1k4kt2lWhVX0WiUF1darRYWi6Vuqi/5vO/i\nN8ds86LEs8TkLrLJ/BfhZsDixYvVBnkZkHABlmX518js2bPR1dWl6Pmfb56OuA9IidAOIrbKKbII\nnc40ArOqs7AtVWxVC1I1JdZAm82Ws1eykLlRUtVTJWcTVhsygsLhcCAUCoGm6bp5vygFOaEXYoui\neOOvqakJOp2Ot7t2d3eDpmkYjcacFsVQKITHH38cO3bsQFtbm2Ss+zPPPINTTjkFL7zwAj777DNc\ndNFF+OIXv1jy4670eqRRUYWWiiStra3w+/1l/z2xWCzDKkTSnLLuZtdoJSudTvNpgST0wGaz4cQT\nT6xJcUWqLxqNBhRF4eSTT264N0s5b47C/o5wOJx1kS3s/YlEIvD5fAiHw+jt7a1YpHgjEAwGwTAM\nxsfH0d3dzQ/artabeSmhHbFYTLJy2trailc3XI0L79pdkcfQdaw8YktsG5SiXsQWEQgMwyAQCBSU\nGiincipnCDjpORVX2euhKhaNRuF0OuFyudDT04NZs2ahp6dHXYT/D7ksiqRvbWxsDOl0GhaLhXcM\nkdEeZPbpY489hk8++QR2ux3d3d345JNP8Mknn+Cb3/wmdu7ciTlz5vDP+W9+8xv87ne/AwAYjUb8\n/Oc/R1NTE+bPn485c+bgo48+gt1u522AADA2NobzzjsPdrsdY2NjGV8nm/MURYFhGNA0DYZhpruJ\ngKLudyajhmE0KKUMLQaAqakpHD16FMuWLVPwqI5Dqigulwscx8FiscBqteZ807v0/P+dV2TlqmiV\nQ2gJxZWwcnX48GG+n6lWAi2IoBWGolgsFtXalgOyyI5EIvB4PPB6vYhEItDpdNBoNNBoNHx/h3gn\nW+keoHqGBIK4XC60tLTwNplGeX6yDWeNRCL4zpMHyvZ7O53pjH8rLbbkCC1CIWKrkgOKw+EwP1C4\np6cHNputKgJB3HMqvsmJKq/0MYvtbdUOtqg3QqEQHA4HvF4v+vr6YLPZ8tqhWZbFgw8+iJdeegla\nrRYmkwmtra1wOBzw+XwAgL6+PixYsAD33nsv/3M33ngjKIrCbbfdBpfLhdNOOw3vvfceNBoNli9f\njrfffhsAcNppp+HAgQMwmUzTQiv+7u/+DpdccgluvvlmmM1mPgzD5/PhrrvuyjhOn89X8P02KLJe\nlKrQalASiUTGwr5QYrEY/va3v2HFihWKHI8w/ZAEBFAUJSts49K2a/N+T6VEVjZxZTQa+TfCd955\nBwsXLkRra2tVxRUJZXC73Uin07y4qoWAk1on2yBh0sNBEPcACT8ndhEp21lbW1tDWYrEJBIJuFwu\nsCyb8XqvRr9ftTnjp+UJyBALLUA5sVWIyCLIFVvlFlrEGuh0OqHRaEDTNCwWS80LhGyCXSqJVeqm\nVFUsEAjA6XTC5/Oht7cXNputJoIt6oFUKgW32w2HwwGtVgu73Y7e3t6cfxuO4/C3v/0NQ0ND2L9/\nPy677DJs3rwZAwMDkt87Pj4Ol8uFpUuX8l93Op24/vrrwTAMOI7DLbfcgmuvPb5ueuCBB/DLX/4S\nAHDrrbfyse9vvfUWH8N+8cUX41//9V/R1NQEr9eLNWvWYHR0FIODg9i7dy9MJhPeeust3Hfffbj/\n/vuLut8GRRVaM5lShRbHcXjttddw1llnFX0fJLnO5XJBq9Xyi61CqyilCC0lRJYccSWsXA0PD/MN\nwmRRLewDKmf0tHAQNbEpyBW0Mx2O4xAIBOByuTKsbUajsehFTDqdnlblEC+eaiWivFRSqRTGx8fB\nMAxisRgoioLValXPPSgvtqREFkEJsVWM0ALyi61yiSxiDXQ6nQgGg6AoCjRNN9S5J6yw56qKZQt3\nyVUVEwZb6PV62O12mM3mmrc01grBYBBjY2Pw+/2wWCyw2Wx5banBYBCPPvoodu7cid7eXmzduhUX\nX3yxOvqjvlCF1kwmmUxmpN8Vw6uvvopVq1YV9DNkoK3L5YJOp4PVagVFUSX1/xQrtEoRWYWKK3Hl\nCkDGm6L4zRH4PJ5cKoyhkDc4YeJdMpnkxZUayiAP4SDh9vZ2WK1WmM3miuyASzXak3NFGGMvNdhZ\nyV3sUo6fvE6mpqbQ19cHq9Wq9qxJoKTYyiW0gNLEVrEiS0g2waW00KoVa2CtkEqlpg15Fm/sCMNd\nUqkUAoEAYrEYrFYr7Ha7aieXSSqVAsuycDqdaG5u5qtXuc49juPw3nvv4YEHHsAbb7yBK664Aps2\nbcpI6lOpK1ShNZMRDi0ultdeew2nn3563gVnMBjkLWp6vZ63qCkRrlBJkVWquCr0zZ002UuJMY7j\npvX/CBfYxD/vcrn4hEZVXMlHaGXV6/U1O0iY47hp9kTxeSKVeEY+L8fjIZU/hmHg8/lgMBhA0/SM\nXuDKRQmxlU9kEYoVW0oILWC62FJKZCWTSX6gcD1ZA2sBjuP46sv4+Dhf/SIbPmK7s7jSXo1esVpj\namoKDocDExMToCgKNpstb+U0EAjgkUcewc6dO0HTNLZu3Yovf/nLNfd+o1Iw6sBildIgyTjiBk5y\nsSZVgNbWVlitVqxYsaImejAKEVlS4qpSaYH54snFC+zx8XFMTk4iFAohnU7zgzoNBgO0Wi2CwSBS\nqVTZFtj1TiwW48WVRqOB1WpVdAhzOWhqaiooxl6YeBaJRHLOiip04USqB6TyR9M0FixYUPWqWj1A\nxGmpyBVZQHFphEqJLEDZREIpa+DSpUsbyhpYTqSCLRYsWCD5PiG2O+cbeSC+NaLgTSaTfPWqpaUF\n/f39edNSOY7DO++8g6GhIfz1r3/FlVdeiccee0xN4ZuBqBWtBiWdTvNWgWL58MMP+TkPZKHAsizG\nx8fR1tZWkSpAoRUtOSKr0pWrUkgmk3zlKhaLoa+vDxRFoaOjY9oCW/g5WWCLKxzCSsdM2JkUDr4m\ngSDF9AnWM8JZUeLzRKrJXmxNFPZZ0jRdk5W/WiUajYJhGLhcLl6cXnrPY0XfXyFCi1CI2FJSaBGm\nBpuKrmaFw2E4nU54PB7VGlgEwWCQT6xTKthCqsouvOWqismdUVgLcBzHV6+mpqb46lW+946pqSns\n3bsXDz74IPr7+7F161ZcdNFFDSlAVVTr4IyGxMmWwqeffgqNRoNEIoHx8XF0dHTAarWit7e3Ygut\nfEJLbBvMJrTqSVyRQbikKkHEVaF9L2SBLbacRSKRnAN7690iQpKfhIOvVVtldsRN9qFQCH6/H4FA\nAOl0mu8lbG9vlxRj6gIiE+FAXI7jeGubsHJajIWwGJFFkCO2yiGyCPvu/rbsBTaxBjqdTmi1Wths\nNvT19annmUxI4qfT6axasIV4ELjw/YesS8h1pdauKSQYxOl0oq2tDf39/RnrBCnS6TQOHDiAoaEh\nvP3221i7di02btwImqYreOQqVUAVWjOZYoUWx3GYmJjgo5n1ej3mzZtXlbk3pVaz0uk0vF4vXC4X\nL65oms6I6K4lcUViW8kgXKvVio6OjrIdh3hgr3B3kpw7pNIhFmO1loiXTqcxPj4OlmURDof5UAY1\nllge5LXCMAzC4TA/247YhpPJpGSEPdnBJmlnUn1itWzNVAqykcMwDEKhECwWC2iazinuCxVbpQgt\nIL/YKqfQ+v+2np7XdkZSahs1NbCciK2VVqsVNE3XbOVeWBWTEmOkKiZOZCU3pd9/yDiPsbExBINB\n0DQNmqbz9plPTEzg4Ycfxu7duzE4OIitW7fiS1/6UkXXStFoFOeccw5isRiSySSuuOIK/OxnP8Pw\n8DDWrVsHr9eL5cuXY+fOnYr0zatkoAqtmY7cocXkIu1yueD1etHT0wOKogAAfr8fJ5xwQrkPVZJC\nhBYRWWJxZTabp80/qiVxRY41FArxx9rZ2VkTIkY4ZFMsxkgiHlk0SQmxcu+gptNp+P1+PvGut7cX\nFEWhq6urJp6/WodsqgirvDRNF/X8kb4OKTEmVT0VirF6sRKJIb2qZOaQ0WgETdPo7u6W/Xjkiq1S\nRRYhm9gqp8h68b4b+M/FtrOpqSl4vV6Ew2FoNBrodLqsQqzRZ88Vg9Ca2tXVBbvd3jDWSqmqGLnF\nYjFwHJezV0yO6yaRSIBhGDidTnR2dsJut0+blSh1XH/9618xNDSE9957D+vWrcO3v/1tWK1WJR++\nbDiOQygUQmdnJxKJBM4++2zcfffd+Od//mdcfvnlWLduHW644QacfPLJuPHGG6tyjA2MKrRmOrmE\nFlmkulwuPjmMoqgMi0EgEMDw8DBOOumkSh42j1zb4OOv/wO8Xi+/4Ca2wFoUV0IhGAgE6locEMtZ\nNiFGkhOlrInFRpOLxYHRaITVam2YxUUlCAaDYBgmY1aYyWQq6/MnjLEXizGpSod47lwtBW5Eo1Gw\nLAuXy4XW1lbYbLaSrFlyxJZSQosgFlyVElrA59Y2hmEkrYHCiHJxD5C4p1As3GvtXCkHJNjC6XQi\nmUzCZrOBoqgZ2TdJ3n+kbmS8jXiDp6WlBbFYDG63G5FIhK9e5au8+/1+7NmzBw899BDmzp2Lbdu2\n4fzzz6+p8y0cDuPss8/Gb3/7W3zta18Dy7LQ6XR47bXXcNttt+GZZ56p9iE2GqrQmumIhxaL+5TI\nIjXbQNZEIoF33nkHp59+eiUPm0dORevWF76DdDpdV+LKbDaDoqiCdr7rFeEboViMkWjybEKMLLyE\nQSxer1eRQcIzDaE4aGlpAU3TVbEDZ0Mo2qUW2MJxB1JirNyPQ9x3ReYDKmWLzCW2lBZZBCK2KiGy\nyLw1p9OJUChUkjVQWGkXnyvCDZ5s/T/1KkjKEWzR6KTTaf5cCQaDcLvdmJqagkajgVar5auownPl\nvffeA0VRmDdvHgwGA9544w0MDQ3h4MGDuPrqq3H99dfDYrFU+6FlkEqlsHz5cnz66af4zne+g5tv\nvhlf+MIX8OmnnwIAjh07hosvvhgHDx6s8pE2HGq8+0ynqamJX+SzLIvJyUnJ+PJs6HS6kpMLi0WO\nyPr5q9+HTqfDsmXLyh7FXihiW5vJZEJ/f/+Mq7zIiSYXCjDSZ0AsZ2Twtl6vh9FoxLx589DW1oa2\ntjZVZOWBVA5YlgWAmo6zb2pqgl6vh16vR3d3t+T3CM+VaDQKv9+fsXstTjoTLq6LCXch4oBhGASD\nQVgsFixZsqQsoSpv/L/bFB1oLIdi4t8LJRQK8SMBDAYDBgYGSt5gIr07LS0t6Onpkfwecf/PxMQE\nf+6IRx6Iz5dasrKSWHGGYdDc3MzHsqvXPnk0NTUhFArB4XAgGo2CpmmcdNJJGWJbfK785S9/wSef\nfILR0VFMTEwgFovhhBNOwJlnnol0Oo3nnnsOg4ODmDt3bs2EXWi1Wrz77ruYmJjAZZddho8++qja\nh6QiQBVaDYzT6cSnn37KL/KXLl1a0BtIrbzZSPFUeCcCgQBGR0cBoKbElcvlwuTkJIxGI+x2O5Ys\nWVLTz2U10Wq16Ozs5BMVI5EIWJZFJBJBe3s7LBYLurq6+F3Jqakp3vIhXDBJVcVmYj8HCVVhGAax\nWKyh5g2JzxUx4pTNQCAAj8eT03ImFe5ChjF7vV4YDIaKbZBIia1yVbMItv8OYHJhYWmmcrlr03J8\n8sknoGkac+bMqWj1VKfT5T1X4vH4tE2ebFbWSs6KIvZoh8PBB1ucdNJJNRtsUYvEYjE4nU6wLIue\nnh7Mnj076wYOOVfa29uxf/9+jI+Pw+12Y9OmTdiwYQNMJhNYlsXo6Ch/e/3110FRFG699dYKP7Lc\nGAwGnH/++XjttdcwMTGBZDIJnU6HsbExdX5XFVGFVgNjtVphsVhKWiDodDr+xVophGIpF83NzZic\nnATLslWbDyUMEpmYmIDBYABN01i8ePGMW+QXi3CQsFarBUVRsisvchbX4mG9tbhzXQqk8iIMBZk/\nf37B4wDqHWJDzVZxkgp3mZyc5D9PJBJIJpNobm5GT08PZs2axY864DiuIudKNSpb5WLZsmU1K/A1\nGg0vmqSQmhVFhvaKkzalesWKqaCKgy1mogOiFDiOg9frhcPhQDweh81mw8qVK/OuXbxeL3bv3o09\ne/ZgyZIl2LZtG84555yMqqHdbofdbseZZ55Z7odRMB6PB83NzTAYDIhEInj22Wfxox/9COeffz4e\nffRRrFu3Djt27MDq1aurfagzFrVHq4FRYmjxu+++iwULFpTdCy60OP749Dtzfu+TwR1Ip9PgOI6P\n8yZviCQWVqrCoVQvhzAC3+/3o6enZ9pMLpXcEFuby+UCx3H8IGGl42elQhjE81zqJcJeCOlbYxiG\nD7OhaVpdmBUAmbfGMAxSqRRomobJZJpmUYxEIojFYvziWsqaSCqoSnHGT/+97NWsruEQ/3k5qlri\nEIxGgyRtSvWKyQ3tIGMpHA7HjA+2KJZoNAqHwwG32827SLJZ1QnpdBqvvPIKhoaG8Omnn+Laa6/F\n+vXrYTabK3TUyvH+++9jw4YNSKVSSKfTWLNmDf7xH/8RR44cwbp16+Dz+XDqqafiwQcfVKuiyqOG\nYcx0lBhafOjQIVgslrJcgITiSpgWeJ3t77L+zONTQwBy2wLT6bTkkF7iz5daLAkrYlKQORssy/Li\niqIoNZChAJLJJDweT00NEhYP6xV+FEfY10IaXjgc5nte2tvbQdN0xYeR1jPivqu+vj7QNM3PC8tH\nKpWSXFiLraxSYqzQCuqXNv222IcpC6HQApQVW40usuQgDu0QnjPhcJivoLa2tsJgMKC7u1vWe5EK\npglUu90OiqLybqR6PB7s3r0be/fuxdKlS7F161asWrVKvX6qFIsqtGY6Sgit4eFhtLS0wGazKXJM\n4nAOqTlX2YIwnghsV2S3XjjzR0qIkaZ6IgDC4TCCwSB6enr4XW/1wiwPMiusXgcJEwuR1FBnYRqe\n1KBepQI74vE4nxio1Wp5S7C6EJOPMNK+nNU/qdk/4gpqc3Oz5PkiJdzLKbbEQgtQTmypQms6wmAL\nnU7Hz2wSizGhcAcab/5cKUQiETgcDng8HphMJtjt9rwW6XQ6jb/85S944IEHMDw8jOuuuw7XXXcd\nTCZThY5apYFRhZYK+F35YnE6nYjFYpgzZ07R90HEFcMwCAQCeaPYV3dukLyfJ4M7ij4GuRBbIBlC\nSnanm5qaJIWY0Jao7kIeRzhGgMwKq6VBzEoj7uUQijGh3UzKzpptB5ZU/4itjVgrVeuHfGKxGFiW\nBcuyfKR9X19fVTdJxBXUbLPnhOfJhv/nKcWPQ0pkEUoVW6rI+hzh+0kgECg41j7b/Dnh0HidTjdN\niFUitKNSkLlhDocDHMfBZrPBYrHkfWxutxu7du3CI488gpNPPhlbt27FmWeeqW6SqiiJKrRUcg8t\nloPX64Xb7cbixYsL+jlS2ieLbZPJNG0XWWrO1WXd35a8v3KKLNLv4nK5MD4+js7OTlAUhd7eXsmL\nstCbL66KiWOmhSJM6T6OWkIdJJwdYjeTEmLi8yWVSiEYDPLWSrvdLtvWpjK974rMu1K696+ciIV7\nNBrFDXc8p+jvyCW0gNLEliq0Pk+9I8EWNpstY2NRKYShHVJijPQsS1lZiw3tqBThcBgOhwPj4+Mw\nm82w2+15nRCpVAovv/wyhoaGMDo6ivXr1+Paa6+F0Wis0FGrzDBUoaUyfWhxoYRCIRw+fBinnHJK\n3u8ViytiC8wnroDPe66kqlnlEFkcxyEYDPLiqr29HVarFWazueRdwJkixDiOw9TUFFiWhc/nU0NB\nioCkVjocDkxMTKC9vR1tbW38OZRMJgEga09hLS+UKgV5DhmGwdTUFCwWS13ZU+WgpIUwn8giFCO2\nZrLIEvcN0TQNq9Va9Wt6IaEdcuys5T5Wt9sNh8OBpqYm2O12WVVolmXx4IMP4g9/+AOWL1+Obdu2\nYeXKlWr1SqXcqEJLBfzA11J+/sCBAzjjjDMk/18JcSVELLSUFlnBYBAsy/LiilSuKmmxEEaSC0VY\nNiEmXlhXG+Fz2NHRwQtU9U1NPsKeoe7ublitVphMJknRJOz7EVfFxBH24nOmkfs4hM8h6Z8sR9Wg\nVlBKbMkVWkDhYmsmCq1gMAin0wmv1wuz2QybzVZXoxWk7KzCQCChnVVKjCkhJEOhEMbGxuDz+dDX\n1webzZa3kp9KpfDiiy9iaGgITqcTGzZswDXXXJN1iHU5OXbsGNavXw+Xy4WmpiZs3boV3/3ud+Hz\n+bB27VqMjIxg9uzZ2Lt3r1pdayxUoaVSutACgP379+Oss87i/620uCKUq5oVCoXAsiw8Hg/a2tpA\nURT6+vpq1r8ung0lFGTJZDJjSG+lhFg4HIbL5YLb7UZrayusVmvFBWq9E41G+VAL0jOkxHNIQm+k\nkhOlAhjEyYn1JExI35XL5YJer1fsOawXShVbhYgsQiFia6YIrWQyCZfLBafTyQdbZLOaNwLikQdy\nQztyjckgNl+HwwGtViv7OWRZFr///e/x2GOP4YwzzsCWLVuwcuXKql7HGIYBwzA47bTTEAgEsHz5\ncjzxxBPYvn07TCYTbrnlFtxxxx3w+/24887c42tU6gpVaKkcv5gR+1Gx7N+/H2eccQafHidHXHEc\nx/87l7gSomQ1KxQKweVywePxoKWlhRdX1bZxKIGUECMfxUJMbE8sRIhFo1FeXJG0u76+vpqoqtUL\nZF4Yy7IAwPcMVfI5lBNhL26oF35e7cVjKpXig0GSySQoioLVaq2rvislKUVsFSO0AHli64k7r+IH\nPNeTeJdLqcEWjYzc0A5yPQmHw4hEIujt7cWsWbPyVgBTqRSef/55DA0Nwe12Y8OGDbj66qvR3d1d\niYdXMKtXr8ZNN92Em266CS+99BJomgbDMDjvvPPw8ccfV/vwVJRDFVoqpQ0tJpWrgwcPQq/X8+lx\nSoorIUKhVYzIIlUXMimdiKuZJgzyCTEAWVMTOY6D2+3mhUG5Bgk3MqlUCuPj42AYBrFYjBcGtbwg\nSyQSWQM7pJLwhEKsHNUkcd8VmXfVSH1XpVCM2CpWZBHyia3f/P3h3auwAAAgAElEQVQ5iEQiOYf1\n1msVlQRbdHZ28rHs9fQYqk0qlYLD4YDT6URTUxO6urqg0+kkQzt27NgBk8mEwcFBGI1GvPnmm9i3\nbx9WrVqFLVu2YPny5TX93I+MjOCcc87BwYMHMTAwgImJCQDHr2lGo5H/t0pDoAotlcKFlpQtMBgM\nYuHChfzukZLiSggRWoWIrEgkwldddDqdWnWRgbjnJxQKYWJiAsFgEOl0Gs3Nzejo6EBHR4dkWEct\nv8lVCzIIlwzf7u3tBU3TddWrkQupJDzyuVSEfbE9HKFQiB/IPBP6rkqhULFVqtACsostsWVQPKw3\nWxVVquenFmLJyfug0+lEIpGomWCLemNqaooP+qEoCjabLeuGEwnteP755/HKK6/g/fffh9frRTqd\nhl6vh0ajQV9fHwYHBzEwMICTTz4ZX//61yv8iHITDAZx7rnn4tZbb8Xll18Og8GQIayMRiP8fn8V\nj1BFYWS9MalXjQZHzgJFSlwNDAzwlauPP/6Yb4qVEldKWIsKEVnE0uZyuaDT6UBRFE499VRVXMlE\no9FAr9djamoKHo8HkUgEFosFJ554Itrb26cJsWAwCI/HkxG+IBW8MNOEGBkLwDAMfD4fDAYDbDYb\nlixZ0nDPgU6nQ2dnZ1bhSCLsyTkzOTkJlmUlI+zFVTGO4/h5V83NzaBpGnPmzKn6YrvWef4/bizr\nQGMpej4JyrIREvtyS0tL1nACUkUlN6/XKzl/TkqIletaHwqF4HQ6MT4+DpPJhPnz5zfMZkmlIIOZ\nnU4nWlpa0N/fj0WLFuW9JjqdTuzYsQP/+Z//ibPPPhu//vWvccopp2S4ZzweD0ZHR3H06FG+/7RW\nSCQS+Na3voVrrrkGl19+OYDjjhCGYXjroMViqfJRqlQDtaI1A5AaWpxKpab1XNE0je7u7mm2wKNH\nj2J8fBxGoxGtra18BLWSb3b5hFY0GoXb7YbL5YJGowFFUbBYLKqlrQDI4GiXy4VgMIje3l5QFIWu\nrq6C7of48cWpieIUvGxhHfUuQsLhMFiWhdvtRnt7O2iaVlMX8yC2s4bDYb6Kmkql0NzcjM7OTrS3\nt08TY41wzpSLYDCI1d/dmff7lKhmCRGKrXIFYAjFu7iaSizQ4gAG8nkhaZviYAubzVb1wdb1Bhn1\n4XA4MDU1xVev8g1YTyQS+POf/4yhoSFMTk5i48aNWLduXd1ZhDmOw4YNG2AymfDrX/+a//rNN98M\ns9nMh2H4fD7cddddVTxSFYVRrYMqxyFDi8XiivRcSYkrYeUqnU5jamoqa/BCuWZCxWIx3hYIgBdX\n+S7eKp9Del1YlsXk5CRMJtO0v3k5fme21ESxEJMK66jFRXU8HufT7kgwiMViUa1EBUDCBBiGweTk\nZIa9UuqcIR+z9fwIZ/3U4jlTLsi5yLIs9Ho9/u9/fS3vzygttIDPxVa1kgalAhjIR2HappSlVa/X\nIxAIwOFwqMEWJZBIJPjqVVtbG/r7+/POUeQ4DseOHcOOHTvw1FNP4dxzz8XWrVtx0kkn1e3r+JVX\nXsEXv/hFLFu2jBfov/zlL3HGGWdgzZo1GB0dxeDgIPbu3QuTyVTlo1VREFVoqRyHYRiMjY0VJK4A\neT1X4plQ2YbzikVYW1ubpDUoFovxlSsAsFgsoChKFVcFUOuDhMULJKlFtViIVaO6kUwm+bS7VCrF\nB4Oo52JhCPuuuru7QdN0weeisOdHvKgmFXvxorpaQ1fLAalGO51ORKNRvmeIVPRzWQjLIbKEPPHC\nD8p6/8VC0jaF5wrpR41EItBoNGhpaUFXV5ekGFOtq9JwHIfJyUmMjY0hGAyCpmnQNJ3XXZJIJLBv\n3z4MDQ0hFAph48aNWLt2bd55WSoqNYwqtFSOMzY2Br1er5i4KgTS4Co1nJf48PV6PdLpNCKRCJqa\nmmCxWGQNLFTJJBAI8IOEu7q6QFFUXVraqinEyIKWZVmEQiE+7U49FwsjHo/D5XKBYRi+76qcs+uk\nFtVCIcZxXEb4gvjcqdXXCOkB9Hq9MJlMsNlsWa2+2cRWOYVWrYosIeQ17XA4EI/HYbPZ+BELJORF\nKpY8W2+hsE+sFjauKkU8HgfDMGBZFh0dHbLSFzmOw+joKLZv344//vGPuOCCC7BlyxYsXbp0Rj13\nKg2LKrRUjkOGFldKXMkhkUjwMeKJRALd3d1obW3NGIyYTqczYqXrZXFUSYT9Qm1tbTNikHA2y5BY\niEmdN1KLI7JDyzAMJiYmKmKvbESEsfbxeJyPta+VCqAwfEEsxoQR9lJCrJKvJ6E1UDjYWs71Tiy2\nZmo1C5gebJFLpGaDbBRKiTGhpVWqT6wRLK3Eeu5wOBAOh/nqVb7+7Hg8jqeffho7duxANBrFpk2b\ncOWVV6Ktra1CR66iUhFUoaVynMOHD6O1tTVj96la4srj8YBlWSSTSd4WmOviS4SXVPACWRyRxbRw\ncdQIdqFsCFMXybwwtV/oc4jNTOqcIb0ber0eOp0O8Xgc4XAYXV1doGkaFoulYc+bcpCr76reEG7y\niD/mSsFToh9VaA2MxWKwWq1FD2UWiq2ZVs0iwRYMw0Cj0cBut5c12EJ4rRGLsWzDwOthszAej8Pp\ndIJlWXR1dcFut2fMz5SC4zgMDw9jx44d+NOf/oQLL7wQW7ZsacgUVhWV/0EVWirH+fnPf47nn38e\nfr8fWq0Wdrudn0Uxe/ZszJ49G4ODg+jq6lL8gkjElcvlQiKRQF9fHyiKUsyKJWUXIrNaiF0omxCr\np4s/sWK5XC40NTWpqYtFEo1GefuLTqdDV1cXmpub+QqZUIhJhXUUkmbWyITDYTAMA7fbja6uLths\ntprpASwXQhu0+COxmWWztGYbexAIBOB0OuHz+YquukjxpU2/nTHVLFKRFife1UKwBcdxWWfQxWIx\nRWfQKXGsPp8PDoeD7wOkaTrvMcTjcfzxj3/E9u3bkUwmsWnTJlxxxRUVf/43btyI//qv/4LFYsHB\ngwcBAD6fD2vXrsXIyAhmz56NvXv3wmg0VvS4VBoaVWipZEIu+qOjoxgeHuZvR48exfDwMILBIPR6\nPWbNmpUhxAYHBzE4OIi2tjZZCykSIuByuRCLxXhxVenIVvJ4pfrDhA30UkEdtbCgFlYAU6kUXwGs\nhQVEPZFIJHiRynEcrFYr36MhhXiXWnj+zGQhRhLGWJaFVqvlK4CNbFMtBHGEvZTNrKWlBXq9HolE\nAqFQCC0tLXzPkNLP4zcv+JWi9yem2kIrFovxmyadnZ11K/bFM+iEn6dSKQDIWklVok8sFovx1aue\nnh709/eju7s7589wHIfPPvsMO3bswDPPPIMvf/nL2LJli6x5WeXiv//7v9HZ2Yn169fzQuuHP/wh\nTCYTH6/u9/tx5513VuX4VBoSVWipFAbHcYhGo7zwIreRkRGMjo4iGo2itbV1mgAbHBxET08Pnnji\nCTz99NP4/ve/zy8eatlCRBroxQvqSCQybUEtXlSXqxE6lUrxIjUajfLiSg1jKAxhv1AsFuP7hZQQ\nqeIEPOH5IzxvpHrE6k2IkWHmTqezJvuu6oV0Og2Px8NXC0hPKjmPpM6bUvt9yim0qiWyxMEWJH2x\nkYfVCwfIi8WY+LwRV8ayWeg5joPX68XY2BgSiQT/fp2vehWLxfDUU09h+/btAIDNmzfj8ssvr5nN\nv5GREVx66aW80DrhhBPw0ksv8QODzzvvPHz88cdVPkqVBkIVWirKwnEcgsEgRkZGMDw8jI8++ggv\nv/wy3n33XUSjUcyfPx/t7e2w2WwYGBjA4OAgb0202WzQarV1tcjM1uuTK/2O3LJZhaQQJ92RCP5a\nFqm1CLG+sCyLqampqvULZYsizybEaq2SKg4HIcPMlbC0zTSE1sB8z6PUxo/QZgZ8HmEvPneyLajL\nJbYqLbSUCLZoVLKdN8LETdLLrNPpEIlEEAwGYTAYMDAwgJ6enrz3f/jwYezYsQPPPvssvvrVr2LL\nli1YuHBh1a9VYsRCy2AwYGJiAsDxx2E0Gvl/q6gogCq0VMpDKpXCddddhw8//BBf+9rXsHbtWixb\ntgwAMDExwVfCjhw5gpGREYyMjMDpdCKVSsFsNvNVMGGPGEVRVQnoKIVsg3nJMGcAOWeIVXqQcCPC\ncRwfge3z+WAwGGC1WvPGDlcT4cIo20yoagznJX1XHo8HnZ2doGkaJpOpZp/HWoWkBjIMg9bWVths\nNkXGLAit0FJCTLigFoqxTVcOKfTIjlMpkZVKpeByueB0OisSbNGopNNpuFwuvnrV3d2d0ZdK+sRa\nWlrwwgsvIBKJYHBwEP39/fjss8/wyCOPQK/XY9OmTbjssstqupqdS2gBgNFohN/vr9bhqTQeqtBS\nKR+ffPIJFixYUNAijNiQjhw5kmFLHBkZgdvtBsdxoCgqw5JIqmImk6nu3mDFPRvhcBhTU1MIBoNI\nJBLQarXo6OhAd3d3RjVMHZaZH2GsfXt7O2iarsuZYVJks7SKh/NKjTwoVIiR/jWGYdS+qxIQWyxL\nSQ0sBXHwAvn4j9/7s2K/o5xCi1RTnU4nJicnayrYot6IRCJwOBzweDwwmUyw2+1Zq/sk6OX111/H\nK6+8gnfeeQculwt+vx+dnZ1obW0FTdMZ78urV6+uub+Lah1UqTCq0FKpHziOQzqdBsuy+Oyzz3h7\nIgnr8Pl80Gg00y72pCJWq5UgYrcUDhK2Wq0wmUwAIGkvI8MyxWlUwoX1TFwIk0qBy+WCVquF1Wqd\nkbH2ci1mUudNS0sLOI7j+9ei0aii/WszDbE10Gaz1azlVykbYTmElnAYbnt7O+x2e10GW1QbYS8g\nx3Gw2WyyNk4ikQieeOIJ/P73v0dLSwu2bNmC1atX8xsFqVQKLMvi6NGj/O173/tezV0zxELr5ptv\nhtls5sMwfD4f7rrrriofpUoDoQotlcaB2GbGxsam2RKHh4cRCASg1+vR39+f0R9GBFl7e3tF37RD\noRBYloXH40F7ezusVivMZnNBAkmcRiUUYsTuIWVLrOX5LIVCEiwZhkEymeQTA2vZvlJtslXEAoEA\nwuEwUqkU9Ho9uru70dXVVddjD6qBUBQoaQ0sN0oIrR/f/sWMYeDCj4UGBIlnh82EYItyEQ6H4XA4\nMD4+DrPZDLvdnjfll+M4HDp0CNu3b8dLL72Er3/969i8eTPmzp1bl9eAq666Ci+99BLGx8dBURR+\n9rOf4Zvf/CbWrFmD0dFRDA4OYu/evfwmp4qKAqhCS2XmQPqljh49ipGREV6IDQ8PY3R0FJFIBC0t\nLbwII0KM/FuJEIJoNMrb2Zqbm2G1WtHX11e2iotwmLO4Iibu1xDaEmt9mLM4HKSvrw80TavJi0UQ\niUT4eVcdHR2gaRpGo5EX8eLzRxy6UO/z55RCbA2sV1FQqth67Lnv87094oqqMCBIai4UucYKRYHR\naITdbleDLYognU7D7XbD4XCgqalJdg9bOBzGY489hp07d6KjowNbtmzBN77xjbo7l1VUagBVaKmo\nEDiOQzgc5vvCSJ/Y0aNHcezYMcRiMXR2dk6zJQ4ODsJut2dNEfT7/bw1UKPRgKKonDOaKom4cV6Y\nRiUc5iwlxCq9mBYn3anhIMVD+q5YlkVTUxPfdyVX8MudPydla20kIUaCVpxOJ/x+f81bA+VSrNiS\nYxmUmkFH+lPD4TASiQQ0Gg06OzthNBrR3t4+40V8oYRCIYyNjcHn86Gvrw82my3vJhTHcfjwww/x\nwAMP4C9/+QtWr16NzZs3Y/bs2epzrqJSPKrQUlGRC1noSwkxh8OBZDIJk8mEgYEBWK1W+Hw+vP32\n29BoNNixYwdomq45v3o+EonENFtirqpGOZLviEj1eDzo7u7m+9fUN//CIFVAhmEQiUTK2neVTYgR\nEQ9ICzFS3aj1v20sFuMHM7e1tTVU0AqhGLFVaG8Wx3GYmpqCw+HA5OQkLBYLaJrmI8az9ReKN4CE\nw3ob6W9QCMIERq1WC7vdjt7e3rzPRygUwh/+8Afs3LkTBoMBW7Zswde+9rWa2AhUUWkAVKGloqIU\nwWAQDz30EHbt2oWxsTGccMIJoCgKDocDLpcLHMfBYrFk9IeR+Ho5b4i1BunzkeoPk4ogF97y9WoI\nLZZ6vR40TaO3t3dGBnyUAlnIMgwDv98Pk8nEz2mqppiRiiEXnjvZqqm5BqyWGxIi4HQ6kUgk6tYa\nWAiFii25QkscbGGz2QraPBFed8Qinliis4n4RruGBAIBOBwO+P1+WCwW2Gw2tLW15fwZjuNw8OBB\nPPDAA9i/fz8uu+wybN68GQMDAxU6ahWVGYMqtFRUlCCVSuGCCy7Aueeei3Xr1mHJkiXTvockJpJK\nmDCow+v18hYuYV8YsSbW8synbIhnQQkX02Qor7BXo7m5GeFwmJ9pQtN0zVgs6w2pvqt6G38gFvHC\nBTXHcdNSE/MN5i0GsTWwWgOuq0UhQiufyCJJlpUIthBH2As/JyFBUj1ira2tdZFQShL+nE4nmpub\n+epVvveIYDDIV6/MZjO2bNmCSy65pC4es4pKnaIKLRXl+OlPf4onn3wSGo0GFosF27dvh81mq/Zh\n1QUcxyGVSmFsbCzDlkjE2NTUFHQ6Hex2+7RBzoODg+jo6KhLIRaJRHhbYCwW4y2H6XQawHEhJq6G\nkfQylUwSiQTcbjcYhimq76rekKpqCAfzStnL5AqxWCwGhmHgcrnQ1tbGV1zqSagqhVyxlU1ohcNh\nOJ1OeDyemgm2EKe1Cj+mUik0NTVNE2C1cO0hNsuJiQnZ88M4jsP777+PBx54AK+//jq+9a1vYdOm\nTZg1a1aFjlpFZUajCi0V5ZiamkJ3dzcA4J577sGHH36I++67r8pH1RiQBvLR0dFp/WFHjx5FKBSC\nXq/PSEwU3mqpiZzjOPh8PrAsi6mpqaxVApISKa6GRSIRJJPJaYsh4YKoUcWFGGHfVTgcBkVRddkL\nWA7y2ct0Ot20kI5wOAyPx4NUKsUPFFZFvTyxJRRapF+IiH6bzYa+vr66se2JB8mLrz3A55tAYjFW\naIR9PpLJJF+9amlpQX9/vyybZSAQwKOPPoqdO3eCoihs3boVX/nKV2rm2rhv3z5897vfRSqVwubN\nm3HLLbdU+5BUVMqBKrRUysPtt9+O0dFR/Pa3v632ocwISHVIOMSZVMRGR0cRj8fR3t4+rRo2MDCA\nWbNmZU1MVPL4AoEAGIaBz+eDwWCA1WotyRIpXAyJhZhwV1pqjli9LPikENvZaqXvqt4gtlafzweP\nx4NQKMQvkjUaDT/6QCo1Ua1sZfLECz+QDLaQ0y9Ujwg3gcRCjETY6/V6SWuinE0v8lyOjY0hEAjw\n1at8swE5jsM777yD7du3480338SVV16JjRs3wm63K/bYlSCVSmHhwoV49tln0d/fj5UrV+Khhx6S\ntNyrqNQ5qtBSUZZbb70Vv//979HT04MXX3wRfX191T4kFXz+xk2EmHCYs8PhQCKRgMFg4CtgQjFG\n0zQ0Gk1Ri/hwOMyHWrS3t1c0nS2dTkv2+EQikWl9GuIFdS0upInN0uVyVfy5bDSkrIFmsznjHM83\n+kBqBl2jJ99lE1t3D13JJzDa7fYZnwpKHAhSFdVc4w90Oh38fj8YhkFbWxv6+/thNBrzPpdTU1PY\nu3cvHnzwQfT392Pr1q246KKLanZD6bXXXsNtt92GZ555BsDxjVkA+PGPf1zNw1JRKQeq0FIpjAsv\nvBAsy077+i9+8QusXr2a//ftt9+OaDSKn/3sZ5U8PJUiIXY+IsKE/WEMw4DjOPT29koKMfEATKfT\niXfffZe3Clmt1prsFco2kJc0zAuTy8QWoUotpJPJJD/viuM4vu9KtbMVjjA1MJlMlhy2IhZi4rAO\nsRCrxvmjNFJC6x/uOAdWqxU0TavnpUzEia1+vx9erxfxeBxarRbNzc3ThFgqlUIgEMC8efPQ2tqK\ndDqNt99+G0NDQ3j77bexZs0abNy4ETRNV/vh5eXRRx/Fvn37cP/99wMAdu7ciTfeeAP33ntvlY9M\nRUVxZAmt2lodqVSV5557Ttb3XXPNNbjkkktUoVUnNDU1wWw2w2w2Y8WKFdP+P51Ow+128yJseHgY\nr776KkZGRuDxeJBOp9HU1IRkMolkMomvfvWruOKKKzB79mwYDIaaXFhqtVp0dHSgo6ND8v9TqVSG\nLdHr9UoupMVCrFRrWTqdhs/nA8MwCIVCoCgKS5YsaUgLVrkhlVyn04mJiQn09vZi4cKFWf/mhaDT\n6dDV1ZU12EGYfJfr/KknIbb7v/4Xrr703zK+dvrpp1fpaOoXUqEi1avOzk4sWbIkw0pNhBg5hz74\n4APce++9YBiG/1pLSwvOOuss3HDDDZg7dy4mJydhMBjUa4WKSp2hCi0VWRw+fBgLFiwAADz55JNY\ntGhRlY9IRSk0Gg0fDnDWWWcBOL4QePbZZ7Fr1y4cOnQI5513Hk499VSkUikMDw/j/vvvx9GjRzEx\nMcEP0BTH1s+ePRudnZ01aTPSarXo7OzMGuUtDlvweDySqXdSQkz8eMU9bEajEQMDA+ju7q7J56bW\nIdZAlmXR0dEBm82GRYsWVfS51Ol0Oc8fcQS5lBATi7BqCLFUKgW32w2n0wkA+O2ua3DjNbsq9vsb\nCY7j4Pf74XA4EA6HQdM0li9fLlkJJFWtrq4ufjTIwMAAfD4fNmzYgDVr1iAWi+Ho0aMYGRnBiy++\nyPfkXnrppfiHf/iHKjxCedjtdhw7doz/99jYWM31kamoVBLVOqgii29961v4+OOPodFoMDg4iPvu\nu0+9eDYwLMvijjvuwDXXXIMVK1ZkXcSS4bSjo6PT+sNGRkb4xMRZs2Zl2BLJx9bW1roTG8KBvFLx\n48DxhZRer0c8Hkc4HOZ7hSiKqtneilomlUrx1sBUKlX3c9jEQkzYIya2too/lirExJVAqWCLb17w\nK9kDimc68XgcTqcTLMuiq6sLdrsdPT09ea9rExMT2LNnDx566CHMmTMH27Ztw/nnn1+zFU+5JJNJ\nLFy4EM8//zzsdjtWrlyJ3bt348QTT6z2oamoKI3ao6WiUiw333wznnrqKej1esybNw9DQ0MwGAzV\nPqy6g+M4RKNRHD16dJoQGx0dRTQaRVtbW0Z0PamIzZo1S/E45XJD+q6IIOju7kZLSwvi8TgikQg/\nzJmklokrGvX2eMuJWBD09fWBpmlFrIG1jtDaKiXENBqNZH9hLiEWj8fBsiwfxqAGWxQP6Xt1OByI\nRqOgaRo0TeftVU2n03jjjTcwNDSEgwcP4uqrr8b1118Pi8VSoSOvDE8//TS+973vIZVKYePGjbj1\n1lurfUgqKuVAFVoqKsXy5z//GRdccAF0Oh1+9KMfAQDuvPPOKh9V48FxHILBIB/QIZwhNjY2hkQi\nge7u7mkzxObMmQOapqHVaqu+UOQ4jp93FQqFYLFYQNN01l4KklomVREj8dHiOT7kVu6o/logGo2C\nZdkMa6AqCDIhQkyqKiYUYsKghUQiAZvNBpvNBr1eX+2HUJfEYjG+etXT04P+/n5+vmQufD4fHnro\nIezZswcLFizAtm3bcO6559Z99UpFZYajCi0VFSV4/PHH8eijj2LXLrV3odKQvgcpIeZ0OpFOp2E2\nmyWFmMViKetChvRdeb1eGI1G0DStSN+V1BwfciMDVbPNEKu19Ee5NJo1sNoEg0GMjo7C6/Xy5wcZ\niSA1/kBYFVOtrZlwHIfx8XF+VAaxAMupXr322msYGhrCoUOHcM0112DDhg3qWBQVlcZBFVoqKkrw\n9a9/HWvXrsW1115b7UNREZFOpzE+Po4jR45k2BKHh4fhdrvR1NQEiqIy+sOIGDOZTAULMVJtcblc\naG1tBU3T6O3trejOtHCYs1iIiYc5iytitbSI5jgOk5OTYBhmxlkDy4E42MJms8FisUj+zfONP1CF\n2PHXusPhgNvthtFohN1uz5pCKcTr9fLVq8WLF2PLli0455xz1OqVikrjoQotFZVcyJkb9otf/AJv\nvfUWHnvsMdW6VGdwHMcnen322Wd8VYx89Pv90Gg0sNls0+aHDQ4O8tWpyclJ7N69G4ODg7wYqOVq\ni3CYs3gxnUqlMhbR4sV0JRbR0WiUHyisWgNLgyRaOhwOXqza7faSI8CFQkx8DomFWDXOoXJBNm4c\nDgeSySTsdrusAJt0Oo1XX30VQ0NDOHz4MK699lqsX78eZrO5QkeuoqJSBVShpaJSCtu3b8e///u/\n4/nnn0d7e3u1D0dFYUh64LFjx6bZEo8cOQKWZREOh6HX67FkyRKcffbZWLx4MR/Y0dbWVpfigCyi\nxdWwXEELpUaPC62B6XSaF6v1anWsNiTYgmVZtLa2wmazwWw2V+x8lDqHyOfZhBj5WItCLBKJwOFw\nwOPxwGQywW63Z43uFzI+Po7du3fj4YcfxtKlS7F161asWrVKrV6pqMwMVKGlolIs+/btw/e//328\n/PLLqqd+BnH48GHcf//9+NOf/oRVq1Zh7dq1oCgKo6OjvBAjiYmRSAStra3T+sNIdUyv19etEJMK\n6sg2jJfcxMOciTXQ6XRicnISfX19sNls6qZFkQiT7iKRCGiahtVqrclgC7EQE55HUkJMeC5VSoil\n02l4PB44HA5wHJfTain+uVdeeQUPPPAAjhw5guuuuw7XXXcdTCZTRY47F4888ghuu+02HDp0CG++\n+WbGgPrbb78d//Ef/wGtVot77rkHX/nKV6p4pCoqDYEqtFRUimX+/PmIxWK89eMLX/gC7rvvviof\nlUq5efHFFzExMYFLLrkELS0tOb+X4ziEQiHejkhuIyMjOHbsGBKJBDo7O6fZEgcGBtDf318TiYnF\nIJwBJRRhRIhpNBq+j6ytrQ0WiwUURdXlzLRaIBKJwOl0wu12w2AwwGaz1f2w62xCTGxvlbInlirE\nQqEQnE4nxsfHYTabYbfbZfUFut1u7Nq1C4888ghOPvlkbFRITxsAABN8SURBVN26FWeeeWZNVa8O\nHToEjUaDbdu24Ve/+hUvtD788ENcddVVePPNN+F0OnHhhf+nvTuPieps2wB+HRhmENnJDDIzCFiq\nYhUVN1xqNEWNaDVWU7cWjbikSVtTU1NN00RNLWmaNNbYxJgooLY2jUuxLtSlaqNttaZ1j5VURpgF\nGBEQkGG28/7hd843A6OgIgPM9UuMwgF9jqKea+7nue8s3Llzp0tWF4m6EQYtImq/p70aSs9Oquh4\nhjApiEnd9WJiYuStiImJiUhOTvbqmNhdHqalRgwWiwVOpxNxcXEICwvzamPvOcy5ZTUsNDQUKpWq\n29zvy/YsjS16Is9zhr6CmGfDl5bbE31tR3W73aiqqoLJZIIgCNDpdFCr1W2GJJfLhd9++w27du1C\nWVkZcnJy8M477yAmJuZl3XqHmDRpklfQysvLAwCsX78eADBt2jRs2LABY8eO9dsaiXqAdv2HxQ3y\nRAQAGDx4MA4ePIhVq1b5eyk9giAIiI6OxvDhwzF8+PBW191uN6qrq+VBzqWlpbh8+TJKS0tRWVkJ\nURSh0WhabUtMTk5GXFyc319Jb7k1UKPRYODAgU/dGiiKIhwOh9dDdG1tLWw2mxzElEplqyAWKMOc\npQHNNTU1UKvVSEtLC8itlkFBQQgLC3vivbds+FJXV4fKyspWnTcVCoX8dRYXF4f+/fu3q3NgZWUl\n9u7di/379yMjIwNr167F6NGj/f537nmZTCZkZmbKb+v1ephMJj+uiChwMGgREQAgLS3N30sIKEFB\nQVCr1VCr1Rg9enSr61LHRCmElZaW4ty5cygtLUV1dTWCgoKQkJDQqnV9cnIyoqKiXloo8ewaGB4e\nDq1Wi7S0tHb9eoIgQKlUQqlU+hz0KgUxz22JDx48gM1mg91uB/B4mLOvilh3DWIOhwMWiwUVFRVQ\nqVTQ6XQYMGBAt7yXzvK0IOZyuWCxWOQgERkZiaioKDQ3N+P27dteQezChQuoq6tDSkoKUlJSUFlZ\niR9//BEmkwk5OTk4d+4coqOjO/v2nqo93XKJqOtg0CIi6oKk1vNarRYTJkzwuiaKIlwuF4xGoxzC\nbt26hWPHjsFgMODhw4dQKBTQ6/U+Z4j17t37mR7kPbeyiaKIhIQEjBw5ssO7BnoGsaioqFbXpWHO\nUjWjsbER1dXVaGpqgsPhAPA4iLWshklBrKto2diiT58+GDZsWJdsbNFdSG3ua2pqoNFokJ6e/sQ2\n91JFrK6uDr///jsOHDgAo9EIq9WKyMhIREZG4syZMygtLZX/3owbN65LtGs/derUM3+OTqdDeXm5\n/LbRaIROp+vIZRHREzBoEQUQvhraMwiCAIVCITfYmDx5std1URRht9tRVlYmb028fPky9u/fj3v3\n7slt66UA5hnE+vbtC5VKBVEUcfr0aVy9ehXjx4+HRqPx+1Y2qRIRGhrqs9IgBTGpGlZfXw+r1Yqm\npiY4nU6vz295vqczWs23bGzhOa+Nnp3L5UJFRQXMZjNCQkLaXQ0URRHnz59Hfn4+qqqqsGTJEixa\ntEiustrtdhiNRnkA+l9//YV+/fp1iaD1PGbNmoVFixZhzZo1MJvNKCkp8VlFJ6KOx2YYROSl5UFq\n6nlEUcSjR49w7949OYhJD5UlJSWoqqoCAPTt2xdDhw5FRkaGXA3T6/VQKBTdMhxI3RBbdkxsebbH\n1xyx521E4TlDTKoGtmcILj3Zw4cP5SHN8fHx0Gq1CA0NbfPzzGYz9uzZg0OHDmHs2LFYsWIFRowY\n0S2/ln05dOgQPvjgA1itVkRHR2PYsGH45ZdfADx+MW3Xrl1QKBTYsmULpk+f7ufVEnV77DpIRM+O\nQSvwuN1u7Nu3D4WFhXC5XHj33XcxZcoUWK1WeZizFMRMJhOcTieio6O9KmJJSUlISUlBnz59ulXH\nRE9P6nbna/5TyzDWslGC51Y2zhB7cU6nU65eqVQq6PV6xMbGtvl15nQ6cerUKeTn56O6uhpLly7F\nwoUL29UUg4joKRi0iKj9nvZqKPVsoihi69atmDVrFlJSUtr18Q8ePPBq1FFaWop79+6hoqICbrcb\narVa3oooNelISkpqV1vtrkqa/+Sr7bjb7ZYf+pubm6FUKhEfHw+NRuMziFHbRFHEw4cPYTQaUV9f\nL1ev2ppxBzzutFdYWIiioiKMHz8eK1euxPDhw7vlCwBE1CUxaBER+VJcXIzVq1fD5XJh+fLlWLdu\nnb+X1KNIc4vu3r3rVQ0zGAy4f/8+BEFAfHy8VzVMCmIxMTHd6mFYCp1msxmNjY2IjY1FRESEVxt7\naZhzcHCwz2qYSqViEPMgdWK0WCzo1asX9Hp9u74unE4nTpw4gfz8fNTW1mLZsmVYsGBBuwYSExE9\nIwYtIqKWXC4X+vfvj5MnT0Kv12PUqFHYt28fBg0a5O+lBQRRFOF2u2EymeSKmMFgkL+vq6uDQqGA\nVqttNT8sKSkJ4eHhXSKIeTa2iIqKgk6na7OxRcvw5TnMWRRFKBSKJwaxrnDPL5M0l81oNKKhoQEJ\nCQlISEhosxOjKIowGo0oKCjAkSNHMHHiRKxcuRLp6ek9/veMiPyKQYuIqKU//vgDGzZskLdF5uXl\nAQDWr1/vz2XR/5FmaZWVlcnnw6RtiQaDAY2NjXLHRM9qmPTj0NDQl/aALVXqzGYz3G43tFpthzW2\nEEURTqfT5/kwaZhzSEiIz0YdSqWy24YKu90uV6/Cw8Oh0+kQHR3d5v04HA4UFxcjPz8fjY2NWLZs\nGebPn89zcETUWdr1jy7buxNRQDGZTEhMTJTf1uv1uHjxoh9XRJ6kWVqpqalITU1tdV0URdhsNnkr\n4t27d3H+/Hncu3cPZWVlsNlsCAsLk4OY1AK/b9++SExMfK7Bxi0bWwwcOLDDH+gFQUBISAhCQkLa\nHOYshbDa2lo0NTXJw5yVSqXPilhXG+YsiiJqampgMpnw6NEjJCQkYMSIEW3OOhNFEWVlZSgoKMDR\no0cxefJkfPXVVxg8eHCXuj8iIgmDFhERdRuCIKBXr15IS0tDWlpaq+uiKKKhocGrSceJEydgMBhg\nNBrhdDoRGRkpV8ISExORnJwsd0wMDg6GIAiwWq3Ys2cPxo4di7CwMGi1WvTv399vZ6naM8zZbrfL\nVbBHjx49dZizZ0Wss9r12+12mM1mVFRUICIiAomJiYiKimrz17bb7Th+/DgKCgrQ1NSE3NxcbNiw\n4YkDiTvT2rVr8fPPP0OpVOKVV15Bfn6+POMtLy8PO3fuRHBwMLZu3Ypp06b5ebVE1NkYtIgooOh0\nOpSXl8tvG41G6HQ6P66IOpIgCIiIiEB6ejrS09NbXZeqKZ5BrKioCAaDAWazGfX19XC73QCA4cOH\nQ6PRIDU1FS6Xq7Nv5ZkIggCVSgWVStXmMGebzYbGxkbcv38fNptNDmJPmiH2IsOcpWYhRqMRzc3N\nSEhIwMiRI9v8OUVRhMFgQEFBAY4fP46srCx8/fXXGDRoUJeqXk2ZMgV5eXlQKBT45JNPkJeXhy+/\n/BK3bt3CDz/8gJs3b8JsNiMrKwt37tzh/DSiAMMzWkQUUJxOJ/r374/Tp09Dp9Nh1KhR+P777/Ha\na6/5e2nkJ1IzhQMHDmDkyJGYM2cOoqOj5SYd0mBnq9UKAIiPj/dq0iFtUYyJiem23QM9hzl7ng/z\nNcy55SwxX+GhublZrl5FRUVBr9f73BLZkt1ux9GjR1FYWAiHw4Hc3FzMmzevXQOJ/e3QoUPYv38/\nvvvuu1ZnP6dNm4YNGzZg7Nix/lwiEXUcntEiImpJoVBg27ZtmDZtGlwuF5YtW8aQFeAuXLiAxMRE\nnD9/3qsV+Lhx47w+TuqYaLFY5CYdJSUlOHnyJAwGA2pqahAcHCx3TJQCmBTIIiIiulQ1xlNQUJAc\nnHzxHOZss9lQV1eHiooK2Gw2uFwueZizKIp49OgRRFFEnz59kJGR0ebcK1EUcffuXRQWFqK4uBhT\np07FN998g4EDB3bZ3y9fdu3ahfnz5wN4fBY0MzNTvqbX62Eymfy1NCLyEwYtIgo42dnZyM7O9vcy\nOt2yZctw5MgRaDQa3Lhxw9/L6TKkh+O2CIKA4OBg6PV66PV6TJw40eu61DmwvLxc3pZ47do1HD58\nGAaDAQ0NDVAqldDr9a2CWFJSEnr16tVlg0VQUBDCwsJ8NgGx2WwoLy9HVVUVevfuDbVaLZ+Vu3r1\nKtxutxzkDh48iIiICKSkpCA5ORl37tzB3r17IYoili9fjs8//7zLVa+ysrJQUVHR6v2bN2/G7Nmz\n5R8rFAosXry4s5dHRF0YgxYRUYBYunQp3n//feTk5Ph7KT2S1DmwX79+6NevX6vrUsfEsrIyOYj9\n+eef2LdvH8rLy2Gz2aBSqVoFMCmUdaXugW63G/fv34fJZILT6YROp0NmZuYTzyC5XC40NTVh6NCh\nuHz5Ms6ePQuz2YyamhrExMQgLi4OxcXFuH37ttycZMyYMV2iXfupU6eeel2a4XX69Gn5z4dnQYkI\n4BktIqKAYjAYMHPmTFa0uiBRFNHY2CifDbt7967cxr68vBwOhwMRERHyzDBpS2JycjK0Wq3cMfFl\nampqgslkgtVqRWxsLHQ6HcLDw9v8PJvNhsOHD6OwsBAKhQK5ubmYM2eOvK2wvr5evlfp/j/++GNo\ntdqXej8vqri4GGvWrMG5c+egVqvl99+8eROLFi3CpUuXYDab8cYbb6CkpITNMIh6Dg4sJiIibwxa\n3Zcoiqirq5MDmGcQM5vNcLlciI2N9aqCSUEsPj4egiA8VxBzu92wWq0wmUwQRRFarRYajabN0CCK\nIu7cuYOCggKcPn0aM2bMwPLly5GamtplKnMvKjU1Fc3NzYiLiwMAZGZmYvv27QAebyfctWsXFAoF\ntmzZgunTp/tzqUTUsRi0iIjIG4NWz+V2u1FdXS036igtLZWDWFVVFURRhEaj8Xk+LC4urlXHxOvX\nr8Nut8NutyMuLg46nc6rWciTNDU1oaioCLt374ZSqcSKFSswe/ZsKJXKl3XrRESdjV0HiYiIAkVQ\nUBDUajXUajXGjBnT6rrb7UZFRQX+++8/eXvemTNnYDAY8ODBAwiCAI1GA+Bx1zyFQoGPPvoIWVlZ\niI6OfmoVShRF3L59GwUFBThz5gzefPNN7Ny5E/369esx1SsiomfFihYRUQBhRYt8uXXrFnbs2IHi\n4mKMHDkSQ4YMQUNDgxzI6uvrERISAr1e73VGrE+fPrh27Rr27duH3r17Y8WKFZg1axZCQkL8fUtE\nRC8Ttw4SEdH/W7hwIc6ePYv79+8jPj4eGzduRG5urr+XRX52/fp1rFu3DitWrMCMGTN8hiRRFNHc\n3IyysjKv82Hnzp1DamoqNm3ahOTkZFaviChQMGgREREBQHl5OXJyclBZWQlBELBy5UqsXr3a38si\nIqLuiUGLiIgIACwWCywWCzIyMlBfX48RI0bgp59+wqBBg/y9NCIi6n7aFbSC2v4QIiKi7i0hIQEZ\nGRkAgIiICKSlpcFkMvl5VfS8PvvsM6Snp2PYsGGYOnUqzGYzgMdbHD/88EOkpqYiPT0df//9t59X\nSkSBjEGLiIgCisFgwD///OOzMx91D2vXrsW1a9dw5coVzJw5E5s2bQIAHD9+HCUlJSgpKcGOHTvw\n3nvv+XmlRBTIGLSIiChgNDQ0YO7cudiyZQsiIyP9vRx6Tp5/do2NjXITjqKiIuTk5EAQBGRmZqK2\nthYWi8VfyySiAMc5WkREFBAcDgfmzp2LxYsX46233vL3cugFffrpp9i9ezeioqJw5swZAI/nfyUm\nJsofo9frYTKZkJCQ4K9lElEAY0WLiIh6PFEUkZubi7S0NKxZs8bfy6F2yMrKwuDBg1t9KyoqAgBs\n3rwZ5eXlWLx4MbZt2+bn1RIRtcaug0RE1OOdP38er7/+OoYMGYKgoMevMX7xxRfIzs7288roRZWV\nlSE7Oxs3btzAqlWrMGnSJCxcuBAAMGDAAJw9e5YVLSLqaO3qOsitg0RE1ONNmDABz/jCYo9is9kw\nceJENDc3w+l0Yt68edi4caO/l/XcSkpK8OqrrwJ4fC5r4MCBAIBZs2Zh27ZtWLBgAS5evIioqCiG\nLCLyGwYtIiKiHk6lUuHXX39FeHg4HA4HJkyYgOnTpyMzM9PfS3su69atw7///ougoCAkJSVh+/bt\nAIDs7GwcO3YMqampCAsLQ35+vp9XSkSBjEGLiIiohxMEAeHh4QAeNwVxOBxyp77u6MCBAz7fLwgC\nvv32205eDRGRb2yGQUREFABcLheGDRsGjUaDKVOmcI4YEdFLxqBFREQUAIKDg3HlyhUYjUZcunQJ\nN27c8PeSiIh6NAYtIiKiABIdHY3JkyejuLjY30shIurRGLSIiIh6OKvVitraWgBAU1MTTp48KXfq\nIyKil4PNMIiIiHo4i8WCJUuWwOVywe124+2338bMmTP9vSwioh6NA4uJiIiIiIjar11tW7l1kIiI\niIiIqIMxaBEREREREXWwZz2j1X2nGxIREREREXUSVrSIiIiIiIg6GIMWERERERFRB2PQIiIiIiIi\n6mAMWkRERERERB2MQYuIiIiIiKiDMWgRERERERF1MAYtIiIiIiKiDsagRURERERE1MEYtIiIiIiI\niDoYgxYREREREVEH+x9VYm9TgFriOAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f91a4cb3e80>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "'''\n",
    "======================\n",
    "3D surface (color map)\n",
    "======================\n",
    "\n",
    "Demonstrates plotting a 3D surface colored with the coolwarm color map.\n",
    "The surface is made opaque by using antialiased=False.\n",
    "\n",
    "Also demonstrates using the LinearLocator and custom formatting for the\n",
    "z axis tick labels.\n",
    "\n",
    "https://matplotlib.org/mpl_toolkits/mplot3d/tutorial.html#d-plots-in-3d\n",
    "\n",
    "'''\n",
    "\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib import cm\n",
    "from matplotlib.ticker import LinearLocator, FormatStrFormatter\n",
    "import numpy as np\n",
    "\n",
    "\n",
    "fig = plt.figure(figsize=(15,6))\n",
    "ax = fig.gca(projection='3d')\n",
    "\n",
    "# Make data.\n",
    "x_lim = [-3.0, 3.0]\n",
    "y_lim = [i * 10.0 for i in x_lim]\n",
    "x = np.arange(x_lim[0], x_lim[1], 0.25)\n",
    "y = np.arange(y_lim[0], y_lim[1], 0.25 * 10.0)\n",
    "X, Y = np.meshgrid(x, y)\n",
    "Z = (1 + X**2) * (100 - Y**2)\n",
    "\n",
    "# Plot the surface.\n",
    "cmap=[cm.plasma, cm.viridis]\n",
    "surf = ax.plot_surface(X, Y, Z, cmap=cmap[1],\n",
    "                       linewidth=0, antialiased=False)\n",
    "\n",
    "# Lines\n",
    "# Saddle point at 0,0,100 for f = (1 + X**2) * (100 - Y**2)\n",
    "x_zeros = np.zeros(len(x))\n",
    "y_zeros = np.zeros(len(y))\n",
    "zx_saddle = np.ones(len(x)) * 100\n",
    "zy_saddle = np.ones(len(y)) * 100\n",
    "\n",
    "ax.plot(x, y_zeros, zx_saddle, color=\"red\")\n",
    "ax.plot(x_zeros, y, zy_saddle, color=\"red\")\n",
    "\n",
    "# Customize the z axis.\n",
    "#ax.set_zlim(-5000.01, 500.01)\n",
    "#ax.zaxis.set_major_locator(LinearLocator(10))\n",
    "ax.zaxis.set_major_formatter(FormatStrFormatter('%.02f'))\n",
    "# Add a color bar which maps values to colors.\n",
    "#fig.colorbar(surf, shrink=0.5, aspect=5)\n",
    "\n",
    "fig = plt.gcf()\n",
    "plt.show()\n",
    "fig.savefig(\"toyfunc3d.pdf\", bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-07-06T09:29:25.598315Z",
     "start_time": "2017-07-06T09:29:25.515302Z"
    },
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "\n",
    "def run(lr_x, lr_y, n_iter, sigma):\n",
    "    x = 0.5 #.509124898\n",
    "    y = -0.4 #-.402918798624\n",
    "    lrx_hist = []\n",
    "    lry_hist = []\n",
    "    x_hist = [x]\n",
    "    y_hist = [y]\n",
    "    obj_list = []\n",
    "    norm_list = []\n",
    "    for i in range(n_iter):\n",
    "        x -= lr_x * (2*x*(100-y*y) + np.random.normal(scale=sigma))\n",
    "        y += lr_y * (-2*y*(1+x*x) + np.random.normal(scale=sigma))\n",
    "\n",
    "        norm = np.sqrt(x ** 2 + y ** 2)\n",
    "        obj = (1+x*x)*(100-y*y)\n",
    "        obj_list.append(obj)\n",
    "        norm_list.append(norm)\n",
    "        x_hist.append(x)\n",
    "        y_hist.append(y)\n",
    "    print (x, y, obj, norm)\n",
    "    return x_hist, y_hist, obj_list, norm_list"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-07-06T09:38:22.518019Z",
     "start_time": "2017-07-06T09:38:22.285704Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.7935282626580147 0.012823230456653944 162.96844238571578 0.793631866092\n",
      "-0.0031984340496097412 -0.009700826780655883 100.00092889103405 0.0102145005065\n",
      "-0.0005298009068054984 -0.0958138941740459 99.99084776400649 0.0958153589243\n",
      "0.023539809577689468 -0.14057804533175197 100.03563912599105 0.142535291996\n"
     ]
    }
   ],
   "source": [
    "n_iter = 5000\n",
    "sigma = 1\n",
    "base_lr = 0.01\n",
    "res_otur_1 = run(base_lr, base_lr, n_iter, sigma)\n",
    "res_otur_2 = run(base_lr/10, base_lr/10, n_iter, sigma)\n",
    "res_ttur_1 = run(base_lr / 100, base_lr, n_iter, sigma)\n",
    "res_ttur_2 = run(base_lr, base_lr / 100, n_iter, sigma)\n",
    "\n",
    "res = [res_otur_1, res_otur_2, res_ttur_1, res_ttur_2]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-07-06T09:38:24.855680Z",
     "start_time": "2017-07-06T09:38:22.520660Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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aAwndDU1pw4bUB7UCzVlXsog3Fh1IMh3BU8n6e2aeDUd8qqKFz4AgpFyblmQJ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BQ2vCm6b9zbPM+CmjPcdUhX/qUvxyTtTkLgB3juvhUvymDUrweKADfPGPU7jyvbWAljQA4Jr3\n1zK2d7xrJrYxWJ3a8HIRP2z0rGm/KbOoVp/Fu3L5fG0Gl4/souoP6lx7WhKfrM6ga2yIK3NdTnFV\nPd9qXB75aRuXj+zCgE4tF2P47K+7Afjw+pFATexefQzqHAV4TjL8tDlbKX6KVkN4kJm1D03waCss\nt3DXl5saXBcOcCU6cWfiq8vZ8ugkIkPMHq71AJNeXc6+p8/BZBC8/2caXWJCmKS7rzrdNYckRnko\nfqtS8rl5jPYMGZkczfv6/RjjJ3bW5DaOXzZrNd/dNtq1XlBuITrEfMyJIKYMSGDxrlzXutMtvrmp\n9irY3hgK6L+/3cLAzpF+FfMze6oYIEXDuOXuidxy90S/27+Yc0+tNpvNjsMhCXArxP7kK1fy3usL\nWLNsL6XF5ZSVWTytZW7Klgup+0I6xwGHt8XQT+yb+76cy+59HbImr78DT+ufwau/Q4LDqfy5K5sS\nYdB2EhBo4uXZN9BFj637dN6/qCivJipaC5OafH7N+4KqCdyytJYC7s2OwSB49+phpB2pICrEXEvx\nG9091rU8LEmLiVqx7wgr9h1pVMVvYBMoAg//uJ38Mgv/HK9mQADCg7TLvNLiaJGSBGtS8/lsTSaf\nrclsFfFx7y7TkgOZGjjw9kuI8NlutTv8umQ5U9O3hr9XcXISHRrAZzef4tFmsTnYmFlIx8hgrA4H\nLy3Yw/Wjk9mQWVgrqYw7g59cyOk9fGfxHPviUo+YvCn9O/DuNcP5Zr1WjmJol2ggzbV9QKcI1qVp\nis2zFw0kIsgzg2W3uFBS88pdL0f55RbXtvUZheSWVBEfEcT+3DImvLKMZy8ayBWjfLs11keVrnCN\n7xPP5gNFHr81qV/7Y9rnMcnhVZLjspGJR72P+6f05sOV6R5Jqya9utxjDHJ3bW2FSRMVJxAmHy7i\nRqOB6feew/R7z8FSbeWFB77h8IECysuryE7LB2fCEwkYnGXNdT9M90LzTmzOuLqaDa4lb0UPEA6H\nVhDdibt3vLsCKtGsmm4KnpZ8xQFIIsKDsNkcBIcEs4IrBQAAIABJREFU0SkpBofFziW3jKVX306u\n3QUEmDyUXneU0tey1KX4nfB+cFMGaNk6HQ7J/y3ZR7ZuBbpvUi8Atjw6icFPLsRsMGDzU2j3eLH4\n2e/Vs9fy2Hn9XC5G/gr9OjlvcEfmbsl2rS/ceUgpfjrOCbJyi83v8W5KLv/fmlpts1ekUlRh5b7J\nvX18o2lZm6aV/2hoHE1IgO8Yp398sp53rhpOsNd27/glhaK1EGAycGq3GgXunauHA3BKt3bcPrYH\nlRY7H61KJybUzN7DZezMLnF5Zazcr/3/n8m9CTIbmTlvJ1A7EctvOw551OQbmRztsX37wRK2H9Qz\n3vm4B685NYkn5u5k16ES+neMJL/M4rF91DNL+PH20WQXac+rh3/c5lPxe/P3fby0cC9/PTyBuHBP\nV8rkGfMZ1DnSlT06p7jKQ+kDWLjzMLmlVc0SC11ldTCgU4TruGzLqjvswZ3vbzuNNakF3D62B7ed\n1Z2uD/7it29Gfo3i98TcnVw6IpHQwIbFOisU3tjtDuZ+soLy4iqi48PZvi6F0qIKUnZk0z4xhjPP\nHcJX/7eI0Mhgzjp3CFlpeaz8dSsAXXp3JGOfXj5MV7Kk06VSCK2AuXsMnTMOz2nlc+pOdt1tU6KX\nmHAvd+BWcsL1O65sKq4213ediqZN37/BfXzS92mXlB7RsgFXFlVQcFB7n9ixPg2jkAQEmhk1ri9Z\naXkYjQbCIoLJSs1l+qMXkJdTjMEoiOsYzYKv1xDXMZor7ppEVDuViKk58TviSSlPmuJwBoNg2qAE\n3luhzcqW6LEZIYHaC22V1e6K1zheyqttmIzClTDAplugjAbP2oJ/7j/CM7/s4kM9BuGjlel17vfW\nM7t5KH4jk2MaRd62QEmVFZtd+nWV2ntI872fvzWHuLCWTZecXVRJQmQQT83fBdBsip+vRBOmBsaD\nhvl5MVq6J49Rzyxm2+OTPdq3HKhxQZZSHrMbmkLR3AQHGLltrGdtSykluaXV/LDxIO1CA7h0ZCJS\nSoorLLzx+/569xkXHsi6h8ZzzzebXcqjk8To2slFnM+EaW/86WoLDzLRq324ywXyvRWpDOykeaI4\npO/7zBnPOPLpxS6rV1m1zbWPrVnFbNUVrJ05vhOLfbE2k/F92jN3azYPTe1b7996tFRZ7UgJv+/O\n9WgfmhTt5xu1GZ4Uw/Ak7XlX31gTFuQ5li3dk9ek5ZoUbYOiI6XcPvlFyksquPv5yzllQn+env4h\nORlHMBgNlBdXUFxYgdFk4IYZ57Fi3iZGnd2Xnz/6k5LCcs9wPP0aLDxSyu6N6SAEJYXlfPXmYo/t\nGXsO1bhvguY2CWCz11jwbG7PbXfrm9HgmdZSf75ffttYeg5IZMvaFHoN6Eyn5Fi+/3AFIImJiyQi\nKphlv2zhQOqRmhlxIWvq6tntevyfvn+HVx3remIT7TYHlbZqls3dVGvbk7d+WHs/QjDnw+UIIRj7\nt+Esn7uRoJBATGYDNquDkeP6csujF/Divz5nx18p2G12rr7nHC6/a1KdcijqRk116bgrdu0jtBlO\ns9FAgNFAucXeaHWV+j+2gCCzgTN6xPLqZUNcljxfBeXXZxSSmldG19jQemPSvGPH5mzO5rHz+rvW\nc4oreWreLp69uLZrUVtn+MxFWO2SVTPOpmNUcK3tS/SXioNFlTz9y67mFs+D//60nbN618SWHCqu\nokNk08+o+8p42NDkLiF1zIiXVtlqvXReOXuta7murIgKRVtACEH7iCAPhVAIwb2TenPvpN7szy2j\noNzCqK4xSCldFqe+CRF8cP0IhBDERwTx+c2nujJ0OvHl8jSkS1StttIqG4+e24+/vbUSgF+2HeKI\nmyVw9oo0/nFmN3YfKiE8yEyQyfe9fc/Xm1m083Ct9kCTwTVGrHt4PBe/s4oDBZVsyizitcX7AK3c\nw/6nz6kzNviOzzdyRs/YBrue9vnvbz7lOO84lLHdM6fU2q8T7+fsG0v2KcXvBKW8pJLgsEAMBgMO\nh4OqimrSdmqWuIBAM4u+XUNggJnUXQfZuiaFwjxt8uOVf3/BxdPHsX1dKlaLzUNJsdsczH7qZ5CS\nlB1ZWtITp8XMm7rqBIJeHsKAXs+hdmF59/91i+DZfxvC1jWpgKashkWE8OxntxLfMZpgtwRJoyfU\nvPs9/NpVHj9/1R0TkFJitdrJyy4ioUsMNquDx2/5gP07D1JRUoXdZveM9XPPWOrr7xQCHA7fiqG/\n2EW3NumQ/PGjlkyrvLjCtX3F/M1Yqq1s/nMPUr93P35xPtHtQhk1YSDfvr2I7av3ccmdk0jZdoDO\n3eMZdlZfouLCMejWysK8EiLbhWM8zkzBJxJK8dP56q8DruVBnWuUqPAgE6VVVkqqjl/xc1pdqqwO\nFu/KZeDjC3lkmv9Z1NIqm6sg7dMX+q+5tvnR2kHH3rff+yvSmL8th5HJ0Vx/euPFKLYGnHF7o5/7\nnSfO70+5xcbtY3u0sFS+Ka2ysdnNIlZUaWkWxa/KK3kCQCcfSrIvQvRsqDee3pV/ju/BX+mFHtkQ\nS6psRAb7nkzo/chvrT7OTwgxBXgdLZPxbCnlc17b7wVuBmxAHnCjlDKj2QVVtErc68UJIUh/bppf\nS3dEkJn056ZRYbH5dbUemRzD0C5RtZJ3DU6M4vHz+vH4XM3FdLtbFuh523Lo0i6EWz/dUKesW7Nq\nJwQDrcSEMzYuPjyI+f8cw6DHF7JMzyjqZOobK1h4z1mAVhbnyvfW8sLFg1xW0Pnbcpi/LeeYYw6f\n/Ft/nv1193FNTgaZjfz18ARGPq1ZWKqsdoL0Mcxb8RvTM7bW9xVtn9fu/YyFX67SlAWX2yM+Si3o\n7QYDGPVrxGrjuzcXYgoO0twvvZUwKTGYjPr97a70uVnO3AuOe1n1ahQ8ySlj+5K+9xCxCVHcOONc\nLNVWivJLCQ4JorignPzDJZw6vi+BQYHEtI8gKFjzarJZ7aTtzqFT11hCwo7+/UEIQUCAiU7J2vUf\nEGjgmY9vAaCqopr1y/YSEh5Av+HJrPx1Gzs2pHPpbWcTExfBd7OWUHSklEGn9aRDYjs+f30Bm/7c\nTXVFPdZBh1PR1Y+V8z/3BDRe37db7WxavrvmHCDBAa/d+zkGk0ErFwE8+4/Znr+rJ50JDgukoqyK\ngAAT4y85hRv+eyHh0U1Tk7stoRQ/nQl927N4lzYTanC7ACOCzZRW2Viwo6ZeXmG5hWg/boV1kV1c\nuyiv0+WvPgq94i+cfDf9NKJCNFnWPzKB8mobl85a7ZGcBmruKV+Wn7aM9BpcHpuzA9AKQW85UOSa\nIW8tlFtsHtlZLc10PryTJ0DDA6wNBsHmRycSGmjCbDQw0Svpw7vLPMudXDCkIz9tzvbeTatECGEE\n3gImAlnAX0KIOVLKnW7dNgEjpJQVQojbgBeAy5pfWkVboT6XwxA/SQ+c/Hj76ezMLmHmvJ2sTs1n\n1jVaLOL1p3clo6CCD1emU2Gpuae3HCiqU+n7cl0mb/6+32e5C4CHp/blX19vdq37U7z2Hi5zLd/0\nkTb5c//3W7l0ZCIvLaxJjpM8Y75rwqeg3EJ4kKnemOJLhnfmspFd/NbfOxriwgOZ1K89C3ceZkd2\nscsV9GCRZk149+phTP9sI7P/TOORc/sd9+8pWheLvlpdo/R5IJB6yhSE0HOY6JYnZ3FxKbFLib2y\nhMCIYCxWu/aeYTAgHNrzWjocWMut9BreDbtBkLL9oKeLpr5/TQlxi7XT6/4ZDILw6FBuffRCEpKO\nfvLBZDbSc2DT1GsOCgnkjHMGutbHXzSC8ReNcK1f+U/P0I7H3ruJrav38cjV7yAdktCIYEoKy10W\nOs9zYEcYDVw/4zzSdmUT3zmab95arB07/RiZzQasNqcl0EFFkRVhMNQcPv0cOKx+jre+LB0OKko1\nTzlLlZVfP/uT0uIKHn7/lkY4Sm0bpfjpvHP1MFan5NMhMsgj/XN4kImSKitv/VHzIjt05iK2PzHZ\nb+yTP3xZXZycM6ADv24/RIeIIA6V1Hbr9K4/9eA5fQgwGRjhFssXGxZIbFggUcEBVFo8f8vpbtdW\nFL+V+4/Qs339RdbdLbXeuCt93p4GBuGZUnj3oRIe+3kHX/zj1EYvgxEbFsiRMu2Fa0e2ZyxNWTMl\nQjlSqk0cXD4ysc5j5g/n5IIvPluT4aH4eT9q7Q7ZmkuLjAL2SylTAYQQXwF/A1yKn5TyD7f+a4Cr\nm1VCxUlJv44RfHnLqbXaHz23H3O3ZHOkzMKtZ3bj583ZPp8ZoGUY/W3HIR78YZvf37l0RGcuGNqJ\nIYlRDZrQfGPJPj5ZnUGl2/NMSslbf6R49MsuqiQi2MywmYu48pQuPHPhQI/t3nHH/9aTqjUW5w3u\nyMKdh7n4ndWkPzeNAwUVvLRAe44WlDdO6Iai9VBSUMadYx6nKK+EgOBAqmx2N2OcZmkTsiZPprPN\nw6Ln7rbocFBdVA4mk/YNm10rWG53IHXlY8+6/by26CEs1VY+f/kX8rKLCAwJYMCpPUjfnU1+dhGD\nTu/JwNN60KVHAlkphwmPDmXomX0wGES9E0RthUGn9eSnfS8hdJdUu81O2q5sPntpPns2Z2C12rBU\n2ejUNZanvriDdu01d3YpJVuX7WLXX6lgtwECS5WerMZs1s6HzY40GcGh1f7ziHV0X9b/F/p+hXs7\ngEOyd0Ma1w+6n5ETB3L7S1efMMf/aFGKn47ZaODMXrXr+mz1k10sI7+c/h2PrhRDSR0JYt6+ahgO\nqRX3/c93W+vd1+T+HUiO9W2yDgowejyUQYudgLqVTyf7Dpcy8dXlDE+KZkRyNDef0a1WVrimxGZ3\ncNXstSS3C2Hpf8bV2XdTZk29p/jwQHJLfc9oP3vhQA6VVLniVRwSiiqtroQwU15bAUD3h35pNNdE\np7tXdIiZEUnRrkLS7rz9R0ot62xjUl5tY9ATC12lG7IbqX7h7plTWLzrMHd+salW4qMyr/XUvDJX\ndtpWSCfAXRPOAk7x0xfgJuBXfxuFELcAtwB06XL8lguFwhshBOsfqXHvn3FOH/bnlmE0CG1cq7Bw\nybur2fLYJOwO6XvcuWoY9327hZUPnO1S9ryfJ3PuPJ3z39Qmz3rEh7E/V7P2OevfuvPb9tq/seVA\nEbd9rtU9/GJtpkvxK6+2cbikCpuX4pcQ2TDX82NhfXoBl7y72rV+0bBOPPSjf2VY0TJYLTbWL9hC\np54dSN2ayV8LNtNrWFeGTRzEqp/X43BIug9OorKsitXz1rPp9x26VUdglzWTCbLSoikFZnONRU+3\n8LlcMqWsccmWUitV4LRKuzwLJVjrmCQQguDQAPoM78qg0fVPXPQcfOI+EwxuGUCNJiM9Biby+MfT\n6/yOEILodqFgc74z6AfeIaHazcvN6qacC7fC83Z7TUJSo0E7p/pGCeBweJzjQyk5CCGYN/t35v1v\nEUIIHHZJbMdoZm18joN7c0jfmcXudfsoPFzCOTeNo/+pvZj33hLyDxZw6nnDGXa2/7CrtoJS/I6R\naW/8edQKQkkdCWKEEBgFXDi0E7ml1by4wH9NKYCkdrWzwTlxz6roxGnlsdeTlanKamfiq8sBrYju\nhoxCUvPKee/aEXV+rzH5YKWWXTXdLfW2P9xrzHkrfe4uh+FBZi4f1YW7x/dkzpZs7v5qM7/vzuWS\n4bXdJdwtgal5ZezKKT3qBABLdh3mpo/X8+plgymrtrlqCXrjLC792/YceneIoKsfZd5J2pFyxr20\nlM2PTqzTCufkm/UHsDukK7bllUsHM+KpxVw0tFM936ybILORaQMTuBMte9fhkipXUiRnMp1Hz+3H\nk/N2csV7azxeVNsqQoirgRHAWf76SCn/B/wPYMSIEXXfbApFIyCEqDWx4v5smnfXGbz1x34MQrB8\nXx7L/jOOmNAApg6se0wb1DmKK0/pwhdrM3ni/P5c5Za0yRungueO1UfCMoDpn21gxb4jrvWX/z6Y\ni32Mw8eL+69/6JUVO8hsZFRyDOvSC1pt5mEhRAzwNZAMpAOXSil9VrYXQkSgeSn8JKW8s7lk9Efa\ntkzysvLIP1TMgV3ZICChe3uKDhVz6f3nk7Unm9kPfoHVYsNgNLBl6Q7d8iYQBgNGkwG7TXtpX/TZ\nCsyBZuxWm2aUc7iVOQA09020QuLu7sRSgsVScx34OsdSetS1Ew4HhgATvUZ0o6qimsJDxVqiEyRB\noYEcyS4mLDKYoNAgKiuqmHbdWST1Ob5n6cnO3a9dS+aeHPKyCwiLCKGkoAwhBIEhZqoqLBhNRton\nxTJifH++f32BS2F3t+ZJ0JRDf+fYY1VqX7XaAa0GYu6BfC6Kvxlpl3qTtp9Vc9bTuVcCB3Zr75E/\nvbVA245EOiTtk+KYdst4zps+iZDwYNbO38gfX68iOj6Si+89l+9fmUtAcADxSXEk9k4gvnMsUe0j\nCQ5t+rwOdaEUv3roFhtK6pHyRtmXUzF5ZFpf0o6U8/naTAAm9I139TEZDdwxrgdrUvM9Ho4AI5Ki\nuXdiL9akFRz1g8pZa2rWslS6xIRw1SlJPvu9szSlVluOj9jEpsTP+4JP/JXZOFBQQZW1xq116sAO\ngHZDm/SZqYd+2OZS/HrGh7FPn9Hu9tAvrux1U15bgcXu4JwBU2vFxB0oqGDMC5oXYOozNdu3ZhW5\nZsXv+XoLQK1MeDuemEz/xxYAWgzM9M+0F6ezesXx8Y2jXP2W783jz/1HeGBKH4wGwfn/p6V4H/Lk\nonoz7EHtUgyxYYGNZtF0vwYvfGslt4/rwewVqa42Z9KaI2W+41NbCQcB92rRnfU2D4QQE4CHgbOk\nlL7NygpFK2RAp0hXvcKj5ZkLB7osdbuenMJri/cya3nNPe5UDJ28fvkQIoPNXP/hX/zzS8+U7j0e\n+oVbz+pW67lm9pOB9Hjp5jaJNn9bTq3tY/vEsS69gCqro1Yt0lbCDGCJlPI5IcQMff0BP31nAsub\nQog37pjN6rl/0WdUD+54/UY+fuxrFn2yDGEwENc5hqT+XSg6XMTZV5/JZ098izAaKM7TSih5JjPR\nWPDJMgoPFWLRE+Z5v8tIh3QpfU5sFpu+O6m/+Nd8T+rRX9Lh0Gw97s9ph0SYDFq8mcMrzMUVg6fJ\naA408fd7pnHtIxe1yomAE5XIduHMXvdUg/pOuXoM9095hsLcktoxhM5C9u7rLguh7tJrt2vn1u1a\ncF5n0u77xTPvgFsJHr2eolOVPJyRx4ePfs2+DWl06duJz5763jXjNHfWIiyVzncf56QGhEeHM+m6\nM/nx9fnEdIjmzXXP8so/3mX3uv2MvXw0B3YdZOvyXQQGmxk8dgAPffkvAoOOPqdIXSjFrx4+vnGU\n6+Xemy/WZnKgsILpZ3X3m9Vw3+FSEqKCGaC/5AP8fUQig5+oSen9ro+H8kc3jCIlr4z3V6Tx9XrN\nWjcsKZrRPWIZ3aNhroEWm4NDxVWc+aKn/A//uB0pNSVgyoAOHtt8xWLlllSzMbOQJbsO85/JfWpt\nbwhSSlbsO8KYnrH1DqpOlyKAX7blMLFfe7+JAWb/meaz/UhZNeUWG8O6RPHD7ad7bDtH/5svGNrR\n1ebtdtTj4V9Jf26aq+D7ByvTuHlMN48+S3bVpEXPLq6ks16Ty+ke5c6X6zI91kMDTXSPCyUlr5xh\nMxe52pftzfPIQnftB+sASIgM4oIhnSh1iwkc/8oylv1nHFuzinhjyT7evHKY63tOGuLa2xhkF1fx\nyE/bXeu3ntWNKf314zyko7+vtQb+AnoKIbqiKXyXA1e6dxBCDAVmAVOklLm1d6FQnPgEBxh5cGpf\n7ji7ByFmIyajgQ0ZhR6K37mDOlJu8T0ZZ3PUjgMEGNPA59nRMqBTJPdP6c0Lv/n2ngnXJ8XKqm2t\nVfH7GzBWX/4YWIoPxU8IMRxoD/yG5pHQaMydtZC572jvLn9mrSNr7yHStzvPt4Oc1Fxy0nJBQsqW\ndKzVNrfMjfi0wORm5CH0+Dbv5GzOBB8x7aMIjQrhwJ4cAoLMXHjnFFb8uI7s/YeQehxZcFgglWXV\nNVkcjQZw2AkKCSQ8Koy8A/nEJbbjo92vIB2wb2MauQcL6NyjPZHtwtmxeh/R7SOJ79KO4JBAouKP\nLnRH0fwk9kzgi/1vIKWktLCc7JTDGAxQUlhOQtf2VJVXY62yYA4OpOhQEb2Gd+WpK99gy9IdGExG\nHHYHA87ojdVmJ3VrJtZqO0IvpeGenDU4IojqCgvJAxK55pGLePLS13DYHTUd3JB2SWlBGdv/3O2x\nyVLlPuGtT1I4wFJt5btX5oGU5GXl8+xVr7P5Dy0p4Zy3FrgUWpvFxqqf/2Lm31/mqbkPNupxbDLF\nTwjxAXAukCulHKC3+XRdEJom8DowFagArpdS1vYdaQESY0L4/OZT+GnTQZ65aCA9H64J73HGCLyz\nNMVlRamy2jEZBCajgd2HSlyxY+5EBJk4b3BHV8F1X1Ybo0HQq304z18yiAqrnblbsslsgOsjwO1j\nu/P20hT++9N2l9LojfMlPeWZqR7KXqCP2dfc0mouensVAHO35PD7v8+iwmrn5QV72J9Xxuc3105A\nAJpFLFf3v7969loqrXZX6m+Aapud3o/8xuDEKH6+Q1POrHYH323IqvlbPt/IJcM789LfB3PZrNWs\nTSvgoqGdeOGSQRiEcNVXfOnvg7nv2y2u7y3ZlVtrZtmJwSBoFxrAN+uzWLk/nytP6cKh4ipXIoSa\nv7smHu6p+bu4eUw37A7JnC0HOX9wJ1dadYDMggqX4ueLgZ0i2aanX++ru6dePLyzz5eSx37ewYR+\n7bn105qSCfllllquVhn5Fa6U6gC7D5UyJFELmv5uQxbd4kL57887XP3XPDjer3zHyuDEKJ+uxav2\n52M4R9A9LtRVbqM1IqW0CSHuBBaglXP4QEq5QwjxJLBeSjkHeBEIA77VJy0ypZTnt5jQCkUL4p7x\nc3hSdC0PgoggMyaDcE2mbfzvRI/JLW+OJUN2Q5l+Zne/il+om+LXnDHsR0F7KaXTVHkITbnzQAhh\nAF5GSzg1oa6dHUv8cVWZt3OD51huMGgvzOZAE1HxkZQcKcVmtWPzSiJnDjRhCjBRXWHhmkcvIbZT\nNG/d/RESyejzRrB9lVanzWgyMnhsP257+TrCojzDHm586nJK8kvZuzGV/qf1JiA4gLStmQQEmyk4\nVET/0b0oyS8jMjYck9lEZXkVQSGBronmfqf2xD1/69i/t2vQMVC0LpwJZCLbhRPZro7cAYO0a/z5\n3x6iutJCYHAADoesVc/P4XBwcN8hLJXV7NuUTv/Te5PYy3Oyek7hB/y1YAtlhWV8+fzPlBWVYa22\n0bF7e+ITY5n+8nUU55Xw4LRnKC+qIDo+kvNum8SnT37npjBqRMdHUmyQVOiedEn9EtmybGeNBdOL\nsqLG8Th0R9SecWmkHQtxJlAGfOKm+L0AFLi5LkRLKR8QQkwF7kJT/E4BXpdS1pVgAdBiaNavX19f\nt0bFvUCvO04XveQZ8wH45Z9j2HO4xOXq547zQbl452H6d4qoN6j9q3WZzPhhG3eM694gi9vGzEKX\nolYfHSKCuHZ0EtedlsziXYf54M80tmQVc+uZ3Txceurit3+NoXN0CEt2Heb8wR0RQjB3SzZ3ebn6\nAAzuHElOcRUlVVYPV0ynAvrRyjQPhcrJ9LO68+6ymtni60cn89GqdNd6+nPTXMfeG1+ujb76eu/T\nm89vPqXOOJewQBNDEqNccXvuPH/xQLrGhnHvN5uZf9cYIkPMFFdYGfzkQh97ajhRIWaKKjTlNyY0\ngA2PTGB1ar5LGXTSVLX0Kiw2+j26oFb7UxcM4OpTk7j03dXsyilhzUPjXS9a9SGE2CClbL6g0iai\nJcYnhaK1YrM7sNgd7M8to2NUMD9uPMg1pyXV8lJobD5bk+Ga6Fzy77NIbheK0SBccdiT+7dn1jUN\nH24ac3wSQiwGOvjY9DDwsZQyyq1voZQy2uv7dwIhUsoXhBDXo5WdqTfGr6Fjk8Ph4LELnmfbn7vp\nObw7/35vOpt/3873r86l+5CuDDl7ADEdoshJzWX8VWeQsfMgkXERdOgaT352AVXlVXTu1RGjsVVa\nVBWKJqe0qIy961PpPbI7AYFmzIFminKL+Wzmdww5ewCnXzCKn9/8lQ2LtjL5hnFYqizMuu8TygrL\nad8ljhf/eJzYjjH1/xANH5uaTPHThUgG5rkpfnuAsVLKHCFEArBUStlbCDFLX/7Su19d+2+pF6vs\nokpGP/f7MX13xxOTG/wC7E5mfgWJMcEN8j3PKqzgjOdru6c+Mq0vGfkVfLqm7trTsWGBrH9kAlmF\nFeQUV/F3t2xozcULFw/i/u/rz27qxJmu22QUnPZszbm5f0pvn8Xcz3l9BbtyPEsrPHF+f649LYkz\nX/yDAwUNi2sc0CmC7QdL6uzz0Q0jOatXnM9z9+maDP6rv5RseXRSgxTB3TOn0P+xBbWKEddFUxZR\nt9kd9HCzhM+76wwGdNLcZoY+uZBCXTHdPXNKg17ylOKnUCgai+IKK+e9+Sf3Te7N+YNrZvI3Hyji\nAr3kz9E8l5trfPL3vuTV53NgDOBA80oIAN6WUs6oa99qbFIoTjwaOjY1TVS1f/y5LvhKqe4zVZIQ\n4hYhxHohxPq8vLymk7QOOkYFc8PpycSEBrhcFBvC9mNU+gC6tAtpcMBx5+gQokPM9IwPY9qgBC4b\nkci+p8/h5jHdmHnBAIYnRdf5/cGdI137GZkcQ/pz0/jjvrH06eBpVq9vP8fDpSMT+eLm2kbfdQ+P\n50K3jJQT+rZnxxNaQdHEmBASIoNJf24ad4/vCcBNZ3T1uf9f7x7DsxfV1JXqEhPCNacmIYRgxf1n\nM6przQyLrxhMJ99NH+3zN/Y8NYUNj0xg2+OTGNs73u+5u+bUJD69aRRz7jydyBAzy/8zjhtP1/YX\nHWLm17vHEOIWf3KtPkP+6mVDXG0jk6NrnRtmx6v1AAAKNUlEQVR3Vs042++2xsBkNLDonjOZecEA\n0p6d6lL6AJ69aJBr2aAC5hUKRTMTGWJm+f3jPJQ+gN5umVDr8vRoQeYA1+nL1wE/e3eQUl4lpewi\npUwG7kPzsKpT6VMoFCc3zW3xK/LluiCEmAc8J6X8U29fAjwgpaxzSqq1zFrZHZJdOSUUVVgJMBkY\n1DmSp+fvItBk4M6ze1BYYSX5KBS35qLaZqfSYsdoEJRUaSUHtmcVMywp2qdlxlkWoMpmJ9hsxGw0\nUGW1U211kJZfTnK7EPbllhFsNtIuLKCWC6vN7iC/3EKQ2YjN7iA6JECLEZCSI2UWCiu0YNgecWG1\nMmgWV1gJDjASoMcgllZZMRkMTRqUX1xhxWwShARoynpdab8rXFnHOGbl/mix2BwIASa3QPkKi51A\nkwEhhCu5WUtfd1JKKq1213GsD2XxUygUzYEzpvzykYkNHieb0eLXDvgG6AJkoOVEKBBCjACmSylv\n9up/PY3s6qlQKNoODR2bmjur52EhRIKb64IzQ16DUqq3VowG4WHlAJh5QU2Rx4bUW2sJAk1GAk2a\n4hSuB+zXlTHUaBAYDcKlfIFWDynIbGRIiKbPj0z274tsMhpctd7cEUIQFx5YZ4B9ZIhn1tTwIN9Z\nVBsT79+s68WgoUpNYxLglYhHCNFsSufRIIRokeOjUCgUdWE2GrhiVOssqi2lzAdqZeTSJ8Rv9tH+\nEfBRkwumUCjaNM3t6unPdWEOcK3QOBUori++T6FQKBQKhUKhUCgUDaMps3p+iVaDJhY4DDwG/IRv\n1wUBvAlMQSvncEN9bp76b+Tp+2kIsYDv/P6tFyVz89DWZG5r8sLRyZwkpYxrSmGaAzU+tTramryg\nZG4uTqrx6SjHpqamrV0vSt6mp63J3FrkbdDY1KQxfq0JIcT6thY3pGRuHtqazG1NXmibMjcnbfH4\ntDWZ25q8oGRuLtqizCcKbe3YK3mbnrYmc1uTt7ldPRUKhUKhUCgUCoVC0cwoxU+hUCgUCoVCoVAo\nTnBOJsXvfy0twDGgZG4e2prMbU1eaJsyNydt8fi0NZnbmrygZG4u2qLMJwpt7dgreZuetiZzm5L3\npInxUygUCoVCoVAoFIqTlZPJ4qdQKBQKhUKhUCgUJyUnheInhJgihNgjhNgvhJjRwrJ8IITIFUJs\nd2uLEUIsEkLs0/+P1tuFEOINXe6tQohhbt+5Tu+/Twhxna/faiR5E4UQfwghdgohdggh7m4DMgcJ\nIdYJIbboMj+ht3cVQqzVZftaCBGgtwfq6/v17clu+3pQb98jhJjcVDLrv2UUQmwSQsxrI/KmCyG2\nCSE2CyHW622t9rpojaix6bhlblPjU1sdm/TfU+PTSTY+NQX+zoGfvhFCiCwhxJvNKaOXDPXKK4QY\nIoRYrd/TW4UQl7WAnHU+S+q6L1uCBsh7rz6ubxVCLBFCJLWEnF4yNeh5LYS4WAghhRCtM9OnlPKE\n/gBGIAXoBgQAW4B+LSjPmcAwYLtb2wvADH15BvC8vjwV+BUQwKnAWr09BkjV/4/Wl6ObSN4EYJi+\nHA7sBfq1cpkFEKYvm4G1uizfAJfr7e8Ct+nLtwPv6suXA1/ry/306yUQ6KpfR8YmvDbuBb4A5unr\nrV3edCDWq63VXhet7aPGpkaRuU2NT211bNJ/U41PJ9H41ITnxec58NP3df2ae7M1ywv0Anrqyx2B\nHCCqGWWs91ni775soWPaEHnHASH68m0tKW9DZdb7hQPLgTXAiJaU2e/f0tICNMPJOg1Y4Lb+IPBg\nC8uUjOfL1R4gQV9OAPboy7OAK7z7AVcAs9zaPfo1sew/AxPbisxACLAROAWtwKbJ+7oAFgCn6csm\nvZ/wvlbc+zWBnJ2BJcDZwDz991utvPr+06n9YtUmrovW8FFjU5PI32bGp7YyNun7V+NTC1zPJ+LH\n3znw0W848BVwPS2r+DVIXq/vbEFXBJtJxnqfJf7uyxY6pkf17AOGAitb6ho4GpmB14BpwFJaqeJ3\nMrh6dgIOuK1n6W2tifZSyhx9+RDQXl/2J3uL/E26a8BQtFnqVi2z7pa0GcgFFqHN1BRJKW0+ft8l\nm769GGjXzDK/BtwPOPT1dq1cXgAJLBRCbBBC3KK3terropXRFv72NnM+28r41AbHJlDjk3e74tjx\ndw5cCCEMwMvAfc0pmB/qldcdIcQoNItQSlML5kZDrlN/92VLcLT31U1oFvmWpF6ZdRfxRCnl/OYU\n7GgxtbQACk+klFIIIVtaDm+EEGHA98C/pJQlQgjXttYos5TSDgwRQkQBPwJ9WlgkvwghzgVypZQb\nhBBjW1qeo+AMKeVBIUQ8sEgIsdt9Y2u8LhTHTms+n21pfGpLYxOo8Ulx9AghFgMdfGx62H2ljnNw\nO/CLlDLL/V5uKhpBXud+EoBPgeuklA5//RQNRwhxNTACOKulZakLfbLiFTQLdavmZFD8DgKJbuud\n9bbWxGEhRIKUMkcfOHL1dn+yHwTGerUvbSrhhBBmtJeqz6WUP7QFmZ1IKYuEEH+gmemjhBAmfbbL\n/TpwypwlhDABkUA+zXftnA6cL4S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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f91b5201438>"
      ]
     },
     "execution_count": 91,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "fig, ax = plt.subplots(4, 3, figsize=(15, 6))\n",
    "for i, r in enumerate(res):\n",
    "    ax[i, 0].plot(r[2])\n",
    "    ax[i, 1].plot(r[3])\n",
    "    #ax[i, 2].plot(r[0], r[1], '->', alpha=0.1)\n",
    "    ax[i, 2].scatter(r[0], r[1], s=5.0, alpha=1.0, c=np.arange(0, len(r[0]), 1), cmap=cm.viridis)\n",
    "\n",
    "ax[0, 0].set_title(\"objective\")\n",
    "ax[0, 1].set_title(\"norms\")\n",
    "ax[0, 2].set_title(\"x vs y\")\n",
    "ax[0, 0].set_ylabel(\"orig fast\")\n",
    "ax[1, 0].set_ylabel(\"orig slow\")\n",
    "ax[2, 0].set_ylabel(\"TTUR x\")\n",
    "ax[3, 0].set_ylabel(\"TTUR y\")\n",
    "\n",
    "fig.savefig(\"toyfunc3d_ttur.pdf\", bbox_inches='tight')\n",
    "\n",
    "fig\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "plt.close('all')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
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